CEMRACS 2017 - Seminars

source: Centre International de Rencontres Mathématiques  2017年9月8日

1 56:54 Jorge P. Zubelli: Project Evaluation under Uncertainty
2 55:28 Stefano De Marco: Some asymptotic results about American options and volativity
3 53:15 Denis Belomestny: Projected particle methods for solving McKean Vlasov SDEs
4 56:03 Francisco José Silva Álvarez: On the discretization of some nonlinear Fokker-Planck-Kolmogorov ...
5 49:25 Emmanuel Gobet : Forward and backward simulation of Euler scheme
6 43:14 Ludovic Goudenège: Splitting algorithm for nested events
7 47:29 Mathieu Laurière: Mean field type control with congestion
8 47:01 Laurent Mertz: Stochastic variational inequalities for random mechanics

Jean-Morlet Chair - Khanin/Shlosman - 1st Semester 2017

source: Centre International de Rencontres Mathématiques   2017年8月1日

1 18:53 Interview at Cirm: Konstantin Khanin
2 54:31 Martin Hairer: Weak universality of the KPZ equation with arbitrary nonlinearities
3 19:36 Interview at Cirm: Martin Hairer
4 4:29 Martin Hairer ITV Behind the scenes
5 1:31:48 Timo Seppäläinen: Variational formulas, Busemann functions, and fluctuation exponents - Part 1
6 1:38:37 Timo Seppäläinen: Variational formulas, Busemann functions, and fluctuation exponents - Part 2
7 1:34:59 Timo Seppäläinen: Variational formulas, Busemann functions, and fluctuation exponents - Part 3
8 50:12 Vadim Gorin: Tilings and non-intersecting paths beyond integrable cases
9 46:15 Dmitry Ioffe: Low temperature interfaces and level lines in the critical prewetting regime
10 52:43 Fabio Toninelli: A second growth model in the Anisotropic KPZ class
11 44:50 Jinho Baik: Multi-time distribution of periodic TASEP​
12 1:29:52 Daniel Remenik: The KPZ fixed point - Part 2
13 1:37:55 Daniel Remenik: The KPZ fixed point - Part 1

CEMRACS 2017 - Summer School

source: Centre International de Rencontres Mathématiques 2017年8月11日

1 1:08:00 Stefano Marelli: Metamodels for uncertainty quantification and reliability analysis
2 56:33 Olivier Le Maître: Global Sensitivity Analysis in Stochastic Systems
3 1:00:34 Julia Charrier: Subsurface flow with uncertainty : applications and numerical analysis issues
4 1:46:10 Raúl Tempone: Adaptive strategies for Multilevel Monte Carlo
5 1:51:58 Raúl Tempone: Multilevel and Multi-index Monte Carlo methods for the McKean-Vlasov equation
6 1:46:25 Plamen Turkedjiev: Least squares regression Monte Carlo for approximating BSDES and semilinear PDES
7 1:03:26 Vianney Perchet: Bandits in Auctions (& more)
8 1:02:51 Jean-David Benamou: Dynamic formulations of Optimal Transportation and variational MFGs
9 1:33:55 Xavier Warin: Branching for PDEs
10 1:51:24 Gilles Pagès: Optimal vector Quantization: from signal processing to clustering and ...
11 1:04:35 Marc Bellemare: Model-free control with deep learning
12 1:05:25 Pierre Degond: On the interplay between kinetic theory and game theory
13 1:51:24 Dan Crisan: Cubature methods and applications
14 1:02:07 Mireille Bossy: Particle algorithm for McKean SDE : a short review on numerical analysis
15 1:48:42 Peter Imkeller: An introduction to BSDE
16 54:56 René Carmona: Mean field games with major and minor players
17 1:05:16 René Aïd: Capacity expansion games with application to competition in power generation investments
18 49:36 Yves Achdou: Numerical methods for mean field games - Introduction to the system of PDEs and...
19 1:51:11
Yves Achdou: Numerical methods for mean field games - Monotone finite difference schemes
20 1:11:57 Yves Achdou: Numerical methods for mean field games - Variational MFG and related algorithms for...
21 1:50:05 Jérôme Lelong : Introduction to HPC, Random generation and OpenMP
22 1:39:57 Jérôme Lelong : Introduction to HPC - MPI : Design of parallel program and MPI
23 58:52 Benjamin Jourdain: The Metropolis Hastings algorithm: introduction and optimal scaling of...

Lie Theory and Generalizations

source: Centre International de Rencontres Mathématiques  2016年11月24日

1 50:40 Ramla Abdellatif : Extensions between Iwahori-Hecke modules for SL2(F) in characteristic p
2 43:33 Jean Michel : Quasisemisimple classes
3 1:13:07 Yves Benoist: Dense subgroups in simple groups - Lecture 2
4 1:00:10 Dominique Manchon: Free post-Lie algebras, the Hopf algebra of Lie group integrators and planar...

(français / in French) Services numériques pour les mathématiques

source: Centre International de Rencontres Mathématiques    2016年11月2日

1 44:21 Gérard Grancher : Démocratie, dictature ... et mathématiques
2 55:50 Damien Ferney : Panorama des Services Numériques de la Plateforme en Ligne pour les Mathématiques
3 40:55 Laurent Azema : Correspondants Mathrice
4 2:26:23 Serge Bordères : Les mobiles au sein d'un réseau de laboratoire
5 34:53 Benoît Métrot : La PLM et le portail des Mathématiques

(theme videos) Topology

source: Centre International de Rencontres Mathématiques   2016年7月6日

Francesco Bei : On the Hodge-Kodaira Laplacian on the canonical bundle of a compact Hermitian... 21:45
Werner Müller : Analytic torsion for locally symmetric spaces of finite volume 1:02:55
Markus Banagl : The L-Homology fundamental class for singular spaces and the stratified Novikov 54:25
Ilaria Mondello : An Obata-Lichnerowicz theorem for stratified spaces 23:51
Pierre Albin : Extending the Cheeger-Müller theorem through degeneration 54:48
Leslie Saper : L2-cohomology and the theory of weights 59:05
Gabriel Rivière: Correlation spectrum of Morse-Smale flows 57:47
Jean-Yves Welschinger: Expected topology of a random subcomplex in a simplicial complex 1:16:32
Penka Georgieva: Real curves and a Klein TQFT 1:03:21
Stepan Orevko: On real algebraic knots and links 57:38
Steve Awodey: Type theories and polynomial monads​ 56:02
Eric Hoffbeck: Shuffles of trees​ 1:01:17
François Métayer: Homotopy theory of strict omega-categories and its connections with...Part 2 1:31:11
François Métayer: Homotopy theory of strict omega-categories and its connections with...Part 1 1:27:35
François Métayer: Homotopy theory of strict omega-categories and its connections with...Part 3 1:22:20
Terence Tao: An integration approach to the Toeplitz square peg problem 58:44
Delphine Moussard: Finite type invariants of knots in homology 3-spheres 1:02:23
Anton Zorich: Equidistribution of square-tiled surfaces, meanders, and Masur-Veech volumes ​1:06:17
Kimihiko Motegi: L-space knots in twist families and satellite L-space knots 51:48
Julien Marché: Differential equation for the Reidemeister torsion 1:08:25
Jeffrey Meier: Bridge trisections of knotted surfaces in four-manifolds​ 1:04:39
Andrew Lobb: Quantum sln knot cohomology and the slice genus 50:01
David Cimasoni : Covering spaces and spanning trees 1:02:32
Mark Powell: Surface systems for links​ 1:03:31
David Gay: Trisections diagrams and surgery operations on embedded surfaces​ 1:03:11
Stefan Friedl: Exceptional 3-manifolds​ 58:07
Camille Horbez: Automorphisms of hyperbolic groups and growth 1:07:00
Emily Stark: The visual boundary of hyperbolic free-by-cyclic groups 57:02
Daniel Groves: Homomorphisms to 3-manifold groups and other families 57:09
Bena Tshishiku: Groups with Bowditch boundary a 2-sphere 58:17
Mladen Bestvina: The Farrell-Jones conjecture for free-by-cyclic groups 1:05:10

SPECIAL 7th European congress of Mathematics Berlin 2016.

source: Centre International de Rencontres Mathématiques   2015年8月3日

1 1:03:04 Gerd Faltings: The category MF in the semistable case
2 10:55 Interview at CIRM : Peter Scholze
3 46:01 Ingrid Bauer: Faithful actions of Gal(Q¯/Q) and change of fundamental group
4 55:21 Peter Scholze: p-adic cohomology of the Lubin-Tate tower
5 30:40 Salma Kuhlmann: Real closed fields and models of Peano arithmetic
6 55:47 Ulrike von Luxburg: Statistics on graphs and networks (II)
7 55:55 Natalia Tronko: Exact conservation laws for gyrokinetic Vlasov-Poisson equations
8 49:34 Sven Bachmann: A classification of gapped Hamiltonians in d=1
9 46:16 Christian Bär: Characteristic initial value problem for wave equations on manifolds
10 1:02:19 Peter Scholze: The Witt vector affine Grassmannian
11 15:51 Interview Pavel Exner
12 46:14 Christian Bär: Characteristic initial value problem for wave equations on manifolds
13 47:45 Jochen Blath: Genetic variability under the seed bank coalescent
14 52:18 Jan Bruinier: Classes of Heegner divisors and traces of singular moduli
15 42:59 Volker Diekert: Recognizable languages are Church-Rosser congruential
16 54:45 Peter Friz: Some examples of homogenization related rough paths
17 1:00:38 Ernst-Ulrich Gekeler: Algebraic curves with many rational points over non-prime finite fields
18 53:32 Jérémy Guéré : Mirror symmetry for singularities
19 1:06:49 Marc Levine: The rational motivic sphere spectrum and motivic Serre finiteness
20 25:24 Interview at CIRM : Endre Szemerédi, Abel Prize 2012
21 1:07:25 Heinrich Matzat: Braids and Galois groups
22 59:43 Volker Mehrmann : Extended Lagrange spaces and optimal control
23 59:52 Norbert Müller : Wrapping in exact real arithmetic
24 55:01 Hermann Schulz-Baldes: Invariants of disordered topological insulators
25 46:54 Aurélien Tellier: Plant ecology influences population genetics: the role of seed banks in [...]
26 55:04 Stefan Teufel: Peierls substitution for magnetic Bloch bands
27 1:32:07 Stephan Volkwein: POD a-posteriori error estimation for PDE constrained optimization
28 42:37 Tobias Weich: Resonance chains on Schottky surfaces
29 47:28 Dirk Werner: The Daugavet equation for Lipschitz operators
30 53:23 Sander Zwegers: Fourier coefficients of meromorphic Jacobi forms
31 36:26 Endre Szemerédi: Maximum size of a set of integers

Partial Differential Equations

source: Centre International de Rencontres Mathématiques     2015年8月7日

(français / in French) Math of Planet Earth (2013 at CIRM)

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source: Centre International de Rencontres Mathématiques    2013年12月12日
Math of Planet Earth
« Mathématiques de la Planète Terre 2013 » : le lancement en France de l’opération mondiale à Marseille, au CIRM
Plus d’une centaine d’instituts de recherche et de sociétés savantes s’unissent dans le cadre d’une grande initiative mondiale : les Mathématiques de la Planète Terre 2013 (MPT 2013). Ce projet, qui s’étalera sur toute l’année, mettra en lumière la contribution des mathématiques à la recherche de solutions à des problèmes mondiaux comme les catastrophes naturelles (ouragans, tremblements de terre et tsunamis), les changements climatiques, le développement durable et les pandémies.
Lancement à Marseille
Le CIRM ouvrira officiellement l’année des « Mathématiques de la Planète Terre » la semaine du 7 au 11 janvier 2013, dans le cadre de la Rencontre scientifique « Chocs dispersifs : mascaret, vagues scélérates et superfluides ».
Lieu privilégié d’échanges entre chercheurs depuis plus de 30 ans, le CIRM a décidé, en complément, d’utiliser la richesse des thèmes de ce programme pour susciter chez les jeunes des vocations pour des études scientifiques.
Ainsi, en 2013, il ouvrira exceptionnellement ses semaines de rencontres scientifiques en créant les « Mercredis mathématiques ». L’objectif de cette opération est de montrer aux jeunes lycéens que les mathématiques sont une science vivante, attractive et en pleine expansion. Une science au cœur même des problématiques et défis sociétaux actuels et à venir, une activité à plusieurs facettes et ouverte sur le monde.
Cette action est placée sous l’égide de la Société Mathématique de France et de l’Institut National des Sciences Mathématiques et de leurs interactions (INSMI) du CNRS, en partenariat avec le ministère de l’enseignement supérieur et de la recherche, d’Aix-Marseille Université, du ministère de l’éducation nationale et de l’Académie d’Aix-Marseille, dans le cadre de Mathématiques de la Planète Terre, opération parrainée par l’UNESCO.

L'analyse des données climatiques 55:11 "L'analyse des données climatiques" par Philippe NAVEAU (http://www.lsce.ipsl.fr/Pisp/44/phili...)
David Nérini : Sur l'utilisation d'éléphants de mer pour comprendre les structures océaniques 54:59
Que disent les mathématiques de notre environnement? 1:36:55
Patrick Silan: Mathématiques, hôtes, parasites et environnement marin 1:27:10
Sylvie Méléard: Mathématiques du hasard et de l'évolution 58:53
Jean-Christophe Poggiale: De la géométrie à la dynamique de populations et de communautés 1:01:42
Mathias Gauduchon: Théorie de la dynamique adaptative: l'évolution en équation 2:04:24
Alexander Ern: Modélisation mathématique en lien avec le stockage des déchets radioactifs 54:51
Etienne Pardoux: Modèles mathématiques des épidémies 1:03:36
Cyril Banderier : Que disent les mathématiques de notre environnement? 1:36:55
Olivier Soulard: Pourquoi l'eau tombe-t-elle d'un verre qu'on retourne 32:54
Interview : Ivar Ekeland 7:54

Geometry (at CIRM)

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source: Centre International de Rencontres Mathématiques      2015年8月7日

Paul Turner: A hitchhiker's guide to Khovanov homology - Part I 1:10:14 Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities.
There are already too many introductory articles on Khovanov homology and certainly another is not needed. On the other hand by now - 15 years after the invention of subject - it is quite easy to get lost after having taken those first few steps.
What could be useful is a rough guide to some of the developments over that time and the summer school Quantum Topology at the CIRM in Luminy has provided the ideal opportunity for thinking about what such a guide should look like.
It is quite a risky undertaking because it is all too easy to offend by omission, misrepresentation or other. I have not attempted a complete literature survey and inevitably these notes reflects my personal view, jaundiced as it may often be. My apologies for any offence caused.
I would like to express my warm thanks to Lukas Lewark, Alex Shumakovitch, Liam Watson and Ben Webster.
Recording during the thematic meeting: "Geometric and quantum topology in dimension 3" the June 23, 2014 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent
Paul Turner: A hitchhiker's guide to Khovanov homology - Part II 1:11:43
Paul Turner: A hitchhiker's guide to Khovanov homology - Part III 1:16:36
Paul Turner: A hitchhiker's guide to Khovanov homology - Part IV 1:04:26
Pierre Pansu: Differential forms and the Hölder equivalence problem - Part 1 1:22:00
Arnaud de mesmay: Discrete systolic geometry and decompositions of triangulated surfaces 26:09
Isabelle Gallagher: Some results on global solutions to the Navier-Stokes equations 51:38
Ludovic Rifford: Geometric control and sub-Riemannian geodesics - Part I 1:19:56
John Loftin: Some projective invariants of convex domains coming from [...] 1:14:35
Christian Bär: Characteristic initial value problem for wave equations on manifolds 46:14
Jean-Pierre Bourguignon: Revisiting the question of dependence of spinor fields and Dirac [...] 1:04:33
Anton Alekseev: Logarithms and deformation quantization 1:05:00
Toshitake Kohno: Quantum symmetry of conformal blocks and representations of braid [...] 59:54
Semyon Dyatlov: A microlocal toolbox for hyperbolic dynamics 56:39
Etienne Ghys: My favorite groups 22:43
John Pardon: Totally disconnected groups (not) acting on three-manifolds 53:51
Bert Wiest: Pseudo-Anosov braids are generic 58:25
John Pardon: Virtual fundamental cycles and contact homology 1:01:41
Emmy Murphy: Existence of Liouville structures on cobordisms 1:05:11
Tim Perutz: From categories to curve-counts in mirror symmetry 1:07:36
Jake Solomon: The degenerate special Lagrangian equation 1:06:16
Mohammed Abouzaid: Nearby Lagrangians are simply homotopic 58:56
Kai Cieliebak: On a question by Michele Audin 1:03:08
Sheel Ganatra: The Floer theory of a cotangent bundle, the string topology of the base and... 1:06:22
Nick Sheridan: Counting curves using the Fukaya category 1:11:23
Paul Gauduchon: Almost complex structures on quaternion-Kähler manifolds of positive type 1:02:35
Interview at CIRM: François Lalonde 44:38
Leonid Polterovich: Persistence modules and Hamiltonian diffeomorphisms - Part 4 1:02:24
Leonid Polterovich: Persistence modules and Hamiltonian diffeomorphisms - Part 1 57:54
Leonid Polterovich: Persistence modules and Hamiltonian diffeomorphisms - Part 2 50:56
Leonid Polterovich: Persistence modules and Hamiltonian diffeomorphisms - Part 3 59:14
Entretien au CIRM : Jean-Pierre SERRE avec Jean-Louis COLLIOT-THELENE 55:12
Interview Gérard Besson 7:04
Andras Vasy: Microlocal analysis for Kerr-de Sitter black holes 1:01:18
Martina Zähle: Curvature measures of random sets 42:02
Rolf Schneider: Hyperplane tessellations in Euclidean and spherical spaces 39:31

(français / in French) Forum mathématiques vivantes (2015 at CIRM)

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source: Centre International de Rencontres Mathématiques   2015年8月5日

Présentation de la "Journée Formation" 15:04 Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities.
La Commission française pour l'enseignement des mathématiques (CFEM) et ses composantes ont décidé d'organiser, en clôture de la semaine nationale des mathématiques, les 20-21-22 mars 2015, un forum intitulé "Mathématiques vivantes, de l'école au monde". Le forum a pris la forme d'un réseau d'évènements, à Paris, Lyon et Marseille. Le dimanche s'est tenue au CIRM une journée pour les enseignants, avec un public de 80 personnes. Une présentation des différentes interventions et de la Société mathématique de France (SMF) introduisent cette journée.
Enregistré pendant le "Forum mathématiques vivantes, de l'école au monde - Journée de formation" au Centre International de Rencontres Mathématiques (Marseille, France)
Réalisation : Guillaume Hennenfent
Isabelle Régner : Effet interférent des stéréotypes de genre sur les performances des filles [...] 1:22:31
Table ronde : mathématiques vivantes dans le monde 1:03:39
Viviane Durand-Guerrier : Démarche expérimentale et apprentissages mathématiques [...] 1:05:21
Table ronde : qu'est-ce qui peut contribuer à rendre les mathématiques plus vivantes dans les [...] 1:21:02

30 Years of Wavelets (2015 at CIRM)

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source: Centre International de Rencontres Mathématiques     2015年8月5日
SPECIAL EVENT
30 Years of Wavelets: Impact and Future
Dates: January 23/24, 2015 at CIRM (Marseille, France)
http://feichtingertorresani.weebly.com/30-years-of-wavele...
As the final event of this Morlet Chair semester, a two-day event entitled '30 years of Wavelets: Impact and Future' was organized in January 2015.
This event brought together an impressive group of “wavelet pioneers’’ (including Alex Grossmann) who presented their views on the history, the impact and the future of the field. Most of the presentations were recorded and are available online through CIRM's audiovisual platform.
The main idea of wavelets is to represent a function, signal or even tempered distributions by building blocks of "constant shape", i.e. by so-called “wavelets” or “atoms” which are obtained from a "mother wavelet" (a function with integral zero, therefore looking like a little wave) by translation and dilation. Soon the idea of a multi-resolution analysis came up, which allows to decompose e.g. images into coarse and fine levels, which has important applications for image compression and transmission. At the same time many operators do have a "sparse matrix representation" with respect to such wavelet frames.
Since the early days of wavelet theory, many important French contributions have participated in the vivid development of the field.
The Mathematical Genealogy Project currently lists 500 PhD theses in the last 25 years related to the topic of wavelets.
This development concerned both the mathematical foundations (e.g. orthonormal wavelet bases with compact support were first introduced by Ingrid Daubechies, a huge variety of wavelet frames or wavelet bases with extra properties also in the multi-dimensional case are available by now) as well as the applications. For many years thousands of subscribers (and among them obviously many from the applied sciences) had been following the so-called Wavelet Digest, which was active until not too long ago.
The discussions about Wavelets had also some "side-effects", which are in the long run maybe more important than the concrete system. One modern branch of analysis is related to "compressed sensing", which in turn is based on the idea of sparsity. These concepts come into play, when one has the chance to represent a signal (typically an element of a high-dimensional space, e.g. a pixel image) with a fairly small number of coefficients in one of those bases (e.g. a wavelet basis, with compactly supported atoms and several vanishing moments). Nowadays a great variety of such expansion is available (Gabor expansions, shearlets, curvelets, etc., to name just a few) and various strategies to explore this situation, and use if for the treatment of high-dimensional data sets, have been developed.
The meeting brought together a group of mathematicians who have contributed significantly to the field, either at the beginning or during the last 30 years, providing a testimonial of the early developments, reflecting the impact that wavelet theory had on the various branches of analysis respectively in the different application areas, and finally looking into the future, trying to describe certain recent developments which are developing on the basis of wavelet theory these days.

Holger Rauhut: Compressive sensing with time-frequency structured random matrices 35:42
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities.
One of the important "products" of wavelet theory consists in the insight that it is often beneficial to consider sparsity in signal processing applications. In fact, wavelet compression relies on the fact that wavelet expansions of real-world signals and images are usually sparse. Compressive sensing builds on sparsity and tells us that sparse signals (expansions) can be recovered from incomplete linear measurements (samples) efficiently. This finding triggered an enormous research activity in recent years both in signal processing applications as well as their mathematical foundations. The present talk discusses connections of compressive sensing and time-frequency analysis (the sister of wavelet theory). In particular, we give on overview on recent results on compressive sensing with time-frequency structured random matrices.
Recording during the thematic meeting: ''30 years of wavelets: impact and future'' the January 24, 2015 at the Centre International de Rencontres Mathématiques (Marseille, France)

Gérard Kerkyacharian: Wavelet: from statistic to geometry 25:26

Michael Unser: Wavelets and stochastic processes: how the Gaussian world became sparse 38:35
Albert Cohen: The joy and pain of wavelets in numerical simulation 31:11
Philipp Grohs: Somes perspectives of computational harmonic analysis in numerics 32:51
Bruno Torresani: Continuous and discrete uncertainty principles 26:16
Franz Luef: Noncommutative geometry and time-frequency analysis 28:46
Thierry Paul: Phase-space delocalization 30:46
Patrick Flandrin: An « ISI » perspective on wavelets 27:10
Jean Pierre Antoine: Continuous (semi-)frames revisited 32:09
Hans Feichtinger: Wavelet theory, coorbit spaces and ramifications 34:20
Stéphane Mallat: High dimensional learning from images to physics 44:05
Stéphane Jaffard: From function spaces to stylometry: the wavelet bridge 30:27
Jean-Luc Starck: Wavelets and inverse problems in astrophysics 40:06
Richard Kronland-Martinet: Sound, music and wavelets in Marseille 32:37
Alain Arneodo: Wavelet-based multifractal analysis of dynamic infrared thermograms [...] 33:20
Martin Vetterli: Wavelets and signal processing: a match made in heaven 43:35
Jean-Claude Risset: Sound, music and wavelets in Marseille: A reminder of early sonic [...] 24:08

Number Theory (at CIRM)

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source: Centre International de Rencontres Mathématiques     2014年8月12日

Jean-Pierre Serre: How to prove that Galois groups are "large" 53:38 Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities.
The Galois groups of the title are those which are associated with elliptic curves over number fields; I shall explain the methods which were introduced in the 1960's in order to prove that they are large, and the questions about them which are still open fifty years later.
Recording during the thematic meeting: "Heights, modularity, transcendence " the May 12, 2014 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent
Jean Pierre Serre: Distributions des valeurs propres des Frobenius des variétés abéliennes ... 1:00:04
Harald Helfgott: Towards ternary Goldbach's conjecture 57:12
Fabien Pazuki: Bounds for the number of rational points on curves over global fields 53:58
János Pintz: Polignac numbers and the consecutive gaps between primes 51:54
Gilles Lachaud: Formulas for the limiting distribution of traces of Frobenius 48:59
Jan-Hendrik Evertse: On Scmidt's subspace theorem 58:27
Mike Zieve: Unlikely intersections of polynomial orbits 40:05
Winnie Li: Towers of Ramanujan graphs 1:02:48
Peter Scholze: p-adic cohomology of the Lubin-Tate tower 55:21
Cameron L. Stewart: A refinement of the abc conjecture 33:22
Andrzej Schinzel: The Congruence f ( x ) + g ( y ) + c = 0 (mod xy ) 30:27
Daniel Bertrand: Generalized Jacobians and Pellian polynomials 34:42
Igor Shparlinski: Group structures of elliptic curves #1 59:06
Igor Shparlinski: Group structures of elliptic curves #2 59:44
Igor Shparlinski: Group structures of elliptic curves #3 59:41
Jared Weinstein: Local Shimura varieties for p-adic fields 1:03:52
Heinrich Matzat: Braids and Galois groups 1:07:25
Wim Veys : Zeta functions and monodromy 1:03:25
Chantal David: Distributions of Frobenius of elliptic curves #1 56:29
Chantal David: Distributions of Frobenius of elliptic curves #2 1:00:47
Nathan Jones: Distributions of Frobenius of elliptic curves #3 58:25
Nathan jones: Distributions of Frobenius of elliptic curves #4 1:04:13
Chantal David: Distributions of Frobenius of elliptic curves #5 1:02:11
Nathan Jones : Distributions of Frobenius of elliptic curves #6 45:16
Andrew Sutherland: Introduction to Sato-Tate distributions 1:03:38
Andrew Sutherland: Moment sequences of Sato-Tate groups 58:06
Andrew Sutherland: Computing Sato-Tate statistics 1:11:19
Francesc Fité: The generalized Sato-Tate conjecture 58:52
Francesc Fité: Sato-Tate axioms 53:53
Francesc Fité: The Galois type of an Abelian surface 1:04:05
Peter Stevenhagen: The Chebotarev density theorem 1:02:29
Peter Stevenhagen: Character sums for primitive root densities 1:05:46
Kevin Buzzard: Pre-adic and adic spaces 1:05:13
Freydoon Shahidi: On equality of arithmetic and analytic exterior square root numbers 1:07:06
Christian Elsholtz: Hilbert cubes in arithmetic sets 31:47
Jean-Marie de Koninck: On the proximity of additive and multiplicative functions 45:39
Hugh Montgomery: Moments of a Thue-Morse generating function 24:03
Michael Drmota: Automatic sequences along squares and primes 44:10
Olivier Ramaré: Some news on bilinear decomposition of the Möbius function 46:31
Alena Pirutka: Algebraic cycles on varieties over finite fields 48:59
Andrew Sutherland: Computing the image of Galois representations attached to elliptic curves 28:54
Marco Streng: Generators for the group of modular units for Γ1(N) over the rationals 27:48
Ernst-Ulrich Gekeler: Algebraic curves with many rational points over non-prime finite fields 1:00:38
Aurore Guillevic: Computing discrete logarithms in GF(pn): practical improvement of ... 25:53
Scott Ahlgren: Algebraic and transcendental formulas for the smallest parts function 42:45
Jan Bruinier: Classes of Heegner divisors and traces of singular moduli 52:18
Karl Mahlburg: Automorphic forms and classical partition identities 47:50
Boris Pioline : A string theorist view point on the genus-two Kawazumi-Zhang invariant 49:57
Sander Zwegers: Fourier coefficients of meromorphic Jacobi forms 53:23
Entretien au CIRM : Jean-Pierre SERRE avec Jean-Louis COLLIOT-THELENE 55:12
Winnie Li: Unramified graph covers of finite degree 47:12
José Felipe Voloch: Generators of elliptic curves over finite fields 34:20
Pär Kurlberg: Class number statistics for imaginary quadratic fields Pär Kurlberg 42:18
William Banks: Primes, exponential sums, and L-functions 41:17
James Arthur: Beyond Endoscopy and elliptic terms in the trace formula 1:13:55
Fiona Murnaghan: Tame relatively supercuspidal representations 1:08:59
Shou-Wu Zhang: Congruent number problem and BSD conjecture 49:01
Wee Teck Gan: Theta lifts of tempered representations and Langlands parameter 1:01:59
Raphaël Beuzart-Plessis: The local Gan-Gross-Prasad conjecture for unitary groups 59:51
Dipendra Prasad: The local Langlands correspondence: functoriality, L-functions, gamma ... 1:41:58
Omer Offen : The relative trace formula 1:01:45
Omer Offen: Period integrals of automorphic forms 1:06:12
Omer Offen : Distinction by a symmetric subgroup 1:02:04
Omer Offen : Distinction and the geometric lemma 1:03:04
Nikos Frantzikinakis: Ergodicity of the Liouville system implies the Chowla conjecture 1:00:09
Harald Helfgott: The diameter of the symmetric group: ideas and tools 48:05
Peter Sarnak: Integral points on Markoff type cubic surfaces and dynamics 1:02:30
Benjamin Weiss: The unsolved problems of Halmos 57:15
James Maynard: Primes with missing digits 1:01:13
Peter Sarnak: Möbius randomness and dynamics six years later 1:12:38
Interview at Cirm: Michael Harris 21:36
Anke Pohl: Isomorphisms between eigenspaces of slow and fast transfer operators 58:06
Javier Fresán: Exponential motives 1:04:28
Youness Lamzouri: Large character sums 44:59
Sigrid Grepstad: Bounded remainder sets for the discrete and continuous irrational rotation 32:39
Zeev Rudnick: Angles of Gaussian primes 42:14
Anne de Roton: Small sumsets in continuous and discrete settings 41:56
James Maynard: Large gaps between primes in subsets 49:39
30 ans d'AGCCT 23:13

Algebraic and Complex Geometry (at CIRM)

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source: Centre International de Rencontres Mathématiques     2015年5月27日

Walter Neumann: Lipschitz embedding of complex surfaces 55:17
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities.
Pham and Teissier showed in the late 60's that any two plane curve germs with the same outer Lipschitz geometry have equivalent embeddings into C2. We consider to what extent the same holds in higher dimensions, giving examples of normal surface singularities which have the same topology and outer Lipschitz geometry but whose embeddings into C3 are topologically inequivalent. Recording during the thematic meeting: « Geometry of Singular Spaces and Maps» the March 03, 2015 at the Centre International de Rencontres Mathématiques (Marseille, France)
Film maker: Guillaume Hennenfent
Juan José Nuño-Ballesteros: Equisingularity of map germs from a surface to the plane 52:48
Wojciech Domitrz: Symplectic singularities of varieties 53:39
Maria Aparecida Soares Ruas: Invariants of determinantal varieties 51:16
David Mond: The intersection form, logarithmic vector fields, and the Severi strata.. 49:37
Lazaro Recht: Metric geometry in homogeneous spaces of the unitary group of a C* -algebra. 2 53:28
Nicola Garofalo: Hypoelliptic operators and analysis on Carnot-Carathéodory spaces 1:17:51
Stéphane Fischler: Between interpolation and multiplicity estimates on commutative algebraic groups 35:39
Serge Bouc: Correspondence functors 1:00:26
Cédric Bonnafé: Calogero-Moser cellular characters : the smooth case 1:05:18
Gérard Besson: Some open 3-manifolds 51:36
Carlo Gasbarri: Arithmetic of algebraic points on varieties over function fields - Part 1 45:26
Carlo Gasbarri: Arithmetic of algebraic points on varieties over function fields - Part 2 49:37
Carlo Gasbarri: Arithmetic of algebraic points on varieties over function fields - Part 3 29:43
Carlo Gasbarri: Arithmetic of algebraic points on varieties over function fields - Part 4 45:50
Ingrid Bauer: Faithful actions of Gal(Q¯/Q) and change of fundamental group 46:01
Massimiliano Mella: Unirational varieties - Part 1 52:39
Massimiliano Mella: Unirational varieties - Part 2 50:33
Massimiliano Mella: Unirational varieties - Part 3 45:17
Michele Bolognesi: Mapping classes of trigonal loci 54:52
Enrica Floris: Invariance of plurigenera for foliations on surfaces 45:41
Herwig Hauser : Commutative algebra for Artin approximation - Part 1 1:23:55
Herwig Hauser : Commutative algebra for Artin approximation - Part 2 1:28:25
Herwig Hauser : Commutative algebra for Artin approximation - Part 3 1:29:59
Bernard teissier: Another type of approximation: the valuative Cohen theorem 1:04:58
Wojciech Kucharz: Criteria for equivalence between power series and polynomials 1:02:31
Yohann Genzmer : The Zariski problem for homogeneous and quasi-homogeneous curves 1:06:56
Tommaso de Fernex: Arc spaces and singularities in the minimal model program - Lecture 1 1:02:03
Tommaso de Fernex: Arc spaces and singularities in the minimal model program - Lecture 2 1:02:40
Tommaso de Fernex: Arc spaces and singularities in the minimal model program - Lecture 3 1:00:41
Tommaso de Fernex: Arc spaces and singularities in the minimal model program - Lecture 4 1:00:07
Shyuichi Izumiya: Caustics of world sheets in Lorentz-Minkowski 3-space 49:04
Goo Ishikawa: Singularities of tangent surfaces and generalised frontal 48:43
José Seade: Indices of vector fields on singular varieties and the Milnor number 51:46
Xavier Gómez-Mont: Grothendieck residue in the Jacobian algebra and cup product in vanishing... 53:57
Alex Dimca: Hodge theory and syzygies of the Jacobian ideal 58:26
Nero Budur: Cohomology jump loci and singularities 55:39
Lizhen Ji: Geometry and analysis of locally symmetric spaces of infinite volume 57:26
Jan Draisma: Stabilisation in algebraic geometry 1:02:47
Raf Cluckers: Pfaffian functions: real and non-archimedean, and an application to... 48:59
Matthias Aschenbrenner: The algebra and model theory of transseries 1:06:29
Jack Hall: Tannaka duality and formal glueings 59:45
David Ben-Zvi: Geometric Langlands correspondence and topological field theory - Part 1 1:37:50
David Ben-Zvi: Geometric Langlands correspondence and topological field theory - Part 2 1:25:14
Ivan Mirkovic: Loop Grassmanians and local spaces 1:11:19
Samuel Raskin: Spectral decomposition of the principal series category 1:03:58
David Nadler: Betti Langlands in genus one 1:09:44
Michael Wibmer: Etale difference algebraic groups 49:47
Sergei Yakovenko: Local Weyl equivalence of Fuchsian equations 54:54
Chris Miller: Expansions of the real field by trajectories of definable vector fields 48:02
Georges Comte: Sets with few rational points 45:34
Yosef Yomdin: Smooth parametrizations in analysis, dynamics, and diophantine geometry 47:57
David Sauzin: Nonlinear analysis with resurgent functions 55:30
A. Rod Gover: Boundary calculus on conformally compact manifolds, and a boundary Yamabe problem 55:14
Frank Calegari: Non-minimal modularity lifting theorems for imaginary quadratic fields 1:05:03
Takeshi Saito: The characteristic cycle and the singular support of an étale sheaf 59:34
Peter Scholze: The Witt vector affine Grassmannian 1:02:19
Michael Harris: Construction of p-adic L-functions for unitary groups 1:03:06
Gerd Faltings: The category MF in the semistable case 1:03:04
Yichao Tian: Generic Tate cycles on certain unitary Shimura varieties over finite fields 1:02:53
Toby Gee: Moduli stacks of potentially Barsotti-Tate Galois representations 1:07:54
Mark Kisin: Honda-Tate theory for Shimura varieties 1:02:18
Alexander A. Beilinson: The singular support of a constructible sheaf 1:04:25
David Helm: Whittaker models, converse theorems, and the local Langlands correspondence for ...
1:04:12
Florian Herzig: On de Rham lifts of local Galois representations 1:01:40
Kentaro Nakamura: Local epsilon isomorphisms for rank two p-adic representations of ... 1:04:48
George Boxer: Construction of torsion Galois representations 1:05:32
Naoki Imai: Affinoids in the Lubin-Tate perfectoid space and simple epipelagic representations 1:03:07
Takeshi Tsuji: On p-adic étale cohomology of perverse sheaves 1:06:09
Benjamin Schraen: Classicality on eigenvarieties 1:03:40
Sug Woo Shin: Galois representations in the cohomology of Shimura varieties 1:03:13
Jean-Louis Colliot-Thélène : H3 non ramifié et cycles de codimension 2 55:35
Alexander Vishik: Subtle Stiefel-Whitney classes and the J-invariant of quadrics 1:07:51
Alena Pirutka: On examples of varieties that are not stably rational 1:02:56
Burt Totaro: Decomposition of the diagonal, and applications 1:02:46
Marc Levine: The rational motivic sphere spectrum and motivic Serre finiteness 1:06:49
Zinovy Reichstein: The rationality problem for forms of moduli spaces of stable marked curves 1:00:52
Tamás Hausel : Toric non-abelian Hodge theory 1:07:57
Alexander Kuznetsov : Geometry and moduli spaces of Gushel-Mukai varieties 1:07:50
Richard Hain: Mixed motives associated to elliptic curves 1:03:30
Gavril Farkas: The uniformization of the moduli space of abelian 6-folds 1:00:56
Artan Sheshmani : On the proof of S-duality modularity conjecture on quintic threefolds 1:04:28
Jim Bryan : Curve counting on abelian surfaces and threefolds 1:08:16
Chiu-Chu Melissa Liu: On the remodeling conjecture for toric Calabi-Yau 3-orbifolds 1:00:39
Jérémy Guéré : Mirror symmetry for singularities 53:32
Thibaut Delcroix : Kähler-Einstein metrics on group compactifications 50:41
Arend Bayer: Stability and applications to birational and hyperkaehler geometry - lecture 1 44:49
Arend Bayer : Stability and applications to birational and hyperkaehler geometry - lecture 2 43:17
Arend Bayer: Stability and applications to birational and hyperkaehler geometry - lecture 3 48:34
Yohan Brunebarbe: A strong hyperbolicity property of locally symmetric varieties 1:05:38
Alexandru Dimca: A computational approach to Milnor fiber cohomology 55:06
Fabrizio Catanese: New examples of rigid varieties and criteria for fibred surfaces [...] 1:09:01
Matthew Stover: Variations on an example of Hirzebruch 1:03:30
Carlos Simpson: Rank 3 rigid representations of projective fundamental groups 1:02:14
Christian Liedtke: Crystalline cohomology, period maps, and applications to K3 surfaces 54:03
Sofia Tirabassi: Fourier-Mukai partners of canonical covers in positive characteristic 46:25
Johannes Nicaise: The non-archimedean SYZ fibration and Igusa zeta functions - part 1/3 51:44
Johannes Nicaise: The non-archimedean SYZ fibration and Igusa zeta functions - part 2/3 56:04
Johannes Nicaise: The non-archimedean SYZ fibration and Igusa zeta functions - part 3/3 53:49
Olivier Wittenberg: Sur la conjecture de Hodge entière pour les solides réels 1:02:32
Jose Felipe Voloch: Differential descent obstructions 52:41
François Charles: Bertini theorems in arithmetic geometry 1:00:04
Bjorn Poonen: Heuristics for boundedness of ranks of elliptic curves 1:13:02
Fabio Tanturri: On the unirationality of Hurwitz spaces 54:45
Carlo Gasbarri: Liouville’s inequality for transcendental points on projective varieties 40:56
Alena Pirutka: Stable rationality - Lecture 1 46:25
Alena Pirutka: Stable rationality - Lecture 2 48:09
Alena Pirutka: Stable rationality - Lecture 3 47:40
Hélène Esnault: D-modules and p-curvatures 57:34
Tomoyuki Abe: Arithmetic D-modules and existence of crystalline companion 55:26
Charles Favre: Explosion of Lyapunov exponents using non-Archimedean geometry 54:37
Vladimir Berkovich: de Rham theorem in non-Archimedean analytic geometry 54:58
Andrea Pulita: An overview on some recent results about p-adic differential equations ... 52:24
Dmytro Shklyarov: Semi-infinite Hodge structures in noncommutative geometry 1:02:53
Javier Fresán: Exponential motives 1:04:28
Jean-Baptiste Teyssier: Skeletons and moduli of Stokes torsors 59:44
Tom Bridgeland: Wall-crossing for Donaldson-Thomas invariants 1:26:10
30 ans d'AGCCT 23:13

Numerical Analysis and Scientific Computing (at CIRM)

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source: Centre International de Rencontres Mathématiques  2015年8月10日

Pierre Alliez : Robust shape reconstruction through optimal transportation 42:34
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr.
I will describe a recent framework for robust shape reconstruction based on optimal transportation between measures, where the input measurements are seen as distribution of masses. In addition to robustness to defect-laden point sets (hampered with noise and outliers), this approach can reconstruct smooth closed shapes as well as piecewise smooth shapes with boundaries.
Recording during the thematic meeting: "Discrete curvature: theory and applications" the November 19, 2013 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent
Philippe Helluy: Discontinuous Galerkin solver design on hybrid computers 55:48
Anthony Nouy: Adaptive low-rank approximations for stochastic and parametric equations [...] 1:07:44
Victor Calo: Multiscale model reduction for flows in heterogeneous porous media 55:05
Gabriel Stoltz: An introduction to molecular dynamics 1:57:51
Martin Vohralík: Adaptive inexact Newton methods and their application to multi-phase flows 50:16
Tim Sullivan: Brittleness and robustness of Bayesian inference for complex systems 1:01:20
Céline Grandmont: Mathematical and numerical analysis of some fluid structure interaction problems 1 1:21:49
Céline Grandmont: Mathematical and numerical analysis of some fluid structure interaction problems 2 1:34:28
Céline Grandmont: Mathematical and numerical analysis of some fluid structure interaction problems 3 1:30:11
Céline Grandmont: Mathematical and numerical analysis of some fluid structure interaction problems 4 1:18:06
Carlo Barenghi: Classical and non-classical flows of superfluids 43:00
Didier Smets: Leapfrogging for the axisymmetric Gross-Pitaevskii equation 49:24
Natalia Berloff: Polariton graph simulators 46:28
Mechthild Thalhammer: High-order Magnus integrators for non-autonomous linear evolution equations 40:59
Anne de Bouard: Inhomogeneities and temperature effects in Bose-Einstein condensates 46:36
Kees Vuik: Krylov subspace solvers and preconditioners 2:59:56
Matthew Knepley: The Portable Extensible Toolkit for Scientific Computing 3:01:52
Frédéric Nataf: Domain decomposition, hybrid methods, coarse space corrections 2:58:12
Martin Gander: Time parallel time integration 2:30:26
Jack Dongarra: Algorithms for future emerging technologies 2:55:46
Jean-François Méhaut: Overview of architectures and programming language for parallel computing 55:33
Frédéric Desprez: OpenCL introduction 59:29
François Broquedis: A gentle introduction to parallel programming using OpenMP 1:01:31
Yvon Maday: Reduced basis methods 3:01:18
Frédéric Hecht: Tutorial with Freefem++ 3:06:21
Sophie Ricci: Data assimilation training course @ CEMRACS: Introduction and variantional algorithms 2:34:10
Vivien Mallet: Introduction to data assimilation: Kalman filters and ensembles 3:00:51
Christophe Prud'homme: High performance computing with Feel++: applications and numerical methods 1:08:40
Pascal Hénon: Linear solvers for reservoir simulation 49:03
Francois-Xavier Roux: Efficient iterative solvers: FETI methods with multiple search directions 1:10:23
Philippe Ricoux: Multiple applications of high performance computing and numerical simulations... 59:17
Martin Vohralik: A posteriori error estimates and solver adaptivity in numerical simulations 1:12:28
Anthony Patera: Parametrized model order reduction for component-to-system synthesis 46:13
Pascal Omnes: Optimized Schwarz waveform relaxation methods: theory and applications 35:34
Fabrice Voitus: A discussion about the impact of scalability constraint on the design of ... 44:01
Mélanie Rochoux: Data-driven wildfire behavior modeling 1:05:20
Annabelle Collin: Modeling and data assimilation in cardiac electrophysiology 39:45
Thomas Dubos: High performance climate modelling : mimetic finite differences, and beyond ? 57:17
Dominique Chapelle: Direct and inverse biomechanical modeling of the heart 57:50
François Alouges : The sparse cardinal sine decomposition and applications 1:11:50
Greg Fasshauer: Some recent insights into computing with positive definite kernels 50:20
Maria Charina: Algebraic multigrid and subdivision 51:16
Ole Christensen: The unitary extension principle on LCA groups 47:12
Angela Kunoth: 25+ Years of Wavelets for PDEs 52:08
Hartmut Prautzsch: Spherical Splines 26:30
Peter Bürgisser: Condition: the geometry of numerical algorithms - Lecture 2 1:32:31
Peter Bürgisser: Condition: the geometry of numerical algorithms - Lecture 1 1:32:37
Sylvie Boldo : Arithmétique à virgule flottante : plaie ou terrain de jeu ? 2:30:40
Jean-Michel Morel: Detection theory and novelty filters 46:55