Algebra (from CIRM)

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

Gennady Lyubeznik: Local cohomology modules of a smooth ℤ−algebra have a finite number [...] 56:53 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.
Let R be a commutative Noetherian ring that is a smooth ℤ−algebra. For each ideal a of R and integer k, we prove that the local cohomology module Hka(R) has finitely many associated prime ideals. This settles a crucial outstanding case of a conjecture of Lyubeznik asserting this finiteness for local cohomology modules of all regular rings.
Recording during the thematic meeting: "Commutative algebra and its interactions with algebraic geometry" the July 9, 2013 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent
Ivan Marin: Report on the BMR freeness conjecture 59:29
Michel Dubois-Violette: The Weil algebra of a Hopf algebra 49:53
Rafael Díaz: Deformations of N-differential graded algebras 30:57
Friedrich Wagemann: Deformation quantization of Leibniz algebras 44:08
Yinhuo Zhang: Braided autoequivalences, quantum commutative Galois objects and the Brauer groups 38:45
James Zhang: Nakayama automorphism and quantum group actions on Artin-Schelter regular algebras 44:55
Cornelia Drutu: Kazhdan projections 55:30
Camille Horbez: Growth under random products of automorphisms of a free group 57:27
François Le Maître: Full groups, cost, symmetric groups and IRSS 1:02:17
Ilya Kapovich: Endomorphisms, train track maps, and fully irreducible monodromies 1:06:19
Vincent Guirardel: Natural subgroups of automorphisms 55:21
Jason Behrstock: Random graphs and applications to Coxeter groups 58:23
Denis Osin: Invariant random subgroups of acylindrically hyperbolic groups 46:10
Enric Ventura: The degree of commutativity of an infinite group 49:23
Laura Ciobanu: Formal conjugacy growth and hyperbolicity 48:57
Mark Sapir: On subgroups of the R. Thompson group F 55:59
Entretien au CIRM : Jean-Pierre SERRE avec Jean-Louis COLLIOT-THELENE 55:12
Lou van den Dries: The ordered differential field of transseries 51:59
Jean-Philippe Rolin : Logarithmico-exponential series and fractal analysis 1:08:31
Hans Schoutens: O-minimalism: the first-order properties of o-minimality 32:11
Salma Kuhlmann: Real closed fields and models of Peano arithmetic 30:40
Jochen Koenigsmann : Galois codes for arithmetic and geometry via the power of valuation theory 1:01:10
Chris Bowman: Weighted Schur algebras or "Diagrammatic Cherednik algebras" over fields of ... 51:24
Petra Schwer: Studying affine Deligne Lusztig varieties via folded galleries in buildings 1:00:34
Giovanni Cerulli-Irelli : Quiver Grassmannians of Dynkin type 1:02:50
Martina Lanini: Parking spaces and Catalan combinatorics for complex reflection groups 1:09:04
Dmytro Shklyarov: Semi-infinite Hodge structures in noncommutative geometry 1:02:53