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Character stacks and $(q-)$geometric representation theory
Multi angle
Authors : Gunningham, Sam (Author of the conference)
CIRM (Publisher )
14F10 - Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
14D23 - Stacks and moduli problems
CIRM (Publisher )
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Abstract :
I will discuss applications of geometric representation theory to topological and quantum invariants of character stacks. In particular, I will explain how generalized Springer correspondence for class $D$-modules and Koszul duality for Hecke categories encode surprising structure underlying the homology of character stacks of surfaces (joint work with David Ben-Zvi and David Nadler). I will then report on some work in progress with David Jordan and Pavel Safronov concerning a q-analogue of these ideas. The applications include an approach towards Witten's conjecture on the fi dimensionality of skein modules, and methods for computing these dimensions in certain cases.
MSC Codes : 14F10 - Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
14D23 - Stacks and moduli problems
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 18/04/2019 Conference Date : 02/04/2019 Subseries : Research talks arXiv category : Quantum Algebra ; Algebraic Geometry ; Representation Theory Mathematical Area(s) : Algebra ; Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:59:16 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-02_Gunningham.mp4 
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Information on the Event
Event Title : Symplectic representation theory / Théorie symplectique des représentationsEvent Organizers : Bellamy, Gwyn ; Ben-Zvi, David ; Schedler, Travis ; Schiffmann, Olivier ; Shan, Peng Dates : 01/04/2019 - 05/04/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/1956.html
Citation Data
DOI : 10.24350/CIRM.V.19511403Cite this video as: Gunningham, Sam (2019). Character stacks and $(q-)$geometric representation theory. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19511403 URI : http://dx.doi.org/10.24350/CIRM.V.19511403 |
See Also
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