Modern Interactions between Algebra, Geometry and Physics (2016)

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source: Tohoku University     2016年8月17日
[TFC] Modern Interactions between Algebra, Geometry and Physics (2016AGP)
2016 @ Tohoku University

A microlocal category associated to a symplectic manifold 1:34:30
An introductory course on Real and Complex Microlocal Analysis [1] 1:24:48
An introductory course on Real and Complex Microlocal Analysis [2] 1:21:43
An introductory course on Real and Complex Microlocal Analysis [3] 1:24:48
Arnold conjecture, Floer chain complexes, and the augmentation ideals of finite groups 1:00:45
Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces 1:36:44
Dual Artin monoids and zero loci of their skew-growth functions 1:32:45
Exact WKB analysis for continuous and discrete Painlev'e equations 1:24:17
General relativity and important physical quantities 1:15:00
Geometry and Physics 1:28:40
Hamiltonian Floer theory and a theorem of Ekeland and Lasry [1] 1:30:10
Hamiltonian Floer theory and a theorem of Ekeland and Lasry [2] 1:30:47
Hofer’s metric and wrapped Floer homology 53:55
Holomorphic Floer quantization [1] 1:29:49
Holomorphic Floer quantization [2] 1:29:33
Holomorphic Floer quantization [3] 1:16:48
Homological algebra of knots and BPS states [1] 1:39:42
Homological algebra of knots and BPS states [2] 1:31:55
Homological algebra of knots and BPS states [3] 1:30:31
Mock modularity and categorification of 3-manifold quantum group invariants 1:36:23
Moduli spaces in gauged linear sigma model (GLSM) [1] 1:25:10
Morse theory with symmetries and applications 56:12
Non-contractible orbits found by the Floer theory on contractible orbits 55:04
Non-contractible periodic orbits in Hamiltonian dynamics [1] 1:23:41
Non-contractible periodic orbits in Hamiltonian dynamics [2] 1:26:29
Non-contractible periodic orbits in Hamiltonian dynamics on tori 59:00
On additive Deligne-Simpson problem 1:35:52
On analytic construction of the group three-cocycles 1:11:03
On Legendrian submanifolds [1] 1:05:50
On Legendrian submanifolds [2] 1:08:27
Periodic Points of Hamiltonian Systems: the Conley Conjecture and Beyond [1] 1:34:45
Periodic Points of Hamiltonian Systems: the Conley Conjecture and Beyond [2] 1:31:28
Periodic Points of Hamiltonian Systems: the Conley Conjecture and Beyond [3] 1:31:33
Periodic Points of Hamiltonian Systems: the Conley Conjecture and Beyond [4] 1:30:02
Perverse sheaves, microlocal sheaves and perverse Schobers [1] 1:27:10
Perverse sheaves, microlocal sheaves and perverse Schobers [2] 1:29:51
Perverse sheaves, microlocal sheaves and perverse Schobers [3] 1:31:59
Rabinowitz Floer homology and symplectic deformations [1] 59:06
Rabinowitz Floer homology and symplectic deformations [2] 1:05:51
Resurgence and wall-crossing via complexified path integral 1:34:21
Riemann-Hilbert correspondence for quantum torus 1:32:56
Riemann-Hilbert correspondence for difference equations in higher dimensions 1:25:23
Riemann-Hilbert correspondence in dimension 1 1:34:12
Some remarks on D-modules with a large parameter and their Stokes geometry 1:22:45
Subanalytic topologies and filtrations on the sheaf of holomorphic functions 1:18:27
Symplectic displacement energy for exact Lagrangian immersions 58:11
The Floer fundamental group for monotone Lagrangian submanifolds 59:12
Twisted wild character varieties 1:22:09