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Irreducible equivariant perverse coherent sheaves on affine Grassmannians of type $A$ and dual canonical bases
Multi angle
Authors : Finkelberg, Michael (Author of the conference)
CIRM (Publisher )
14M15 - Grassmannians, Schubert varieties, flag manifolds
13F60 - Cluster algebras
CIRM (Publisher )
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Abstract :
S. Cautis and H. Williams identified the equivariant K-theory of the affine Grassmannian of $GL(n)$ with a quantum unipotent cell of $LSL(2)$. Under this identification the classes of irreducible equivariant perverse coherent sheaves go to the dual canonical basis.
This is a joint work with Ryo Fujita.
MSC Codes : This is a joint work with Ryo Fujita.
14M15 - Grassmannians, Schubert varieties, flag manifolds
13F60 - Cluster algebras
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 24/04/2019 Conference Date : 04/04/2019 Subseries : Research talks arXiv category : Representation Theory ; Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry ; Algebra Format : MP4 (.mp4) - HD Video Time : 01:04:54 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-04_Finkelberg.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.19513003Cite this video as: Finkelberg, Michael (2019). Irreducible equivariant perverse coherent sheaves on affine Grassmannians of type $A$ and dual canonical bases. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19513003 URI : http://dx.doi.org/10.24350/CIRM.V.19513003 |
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Bibliography
- Finkelberg, M., Fujita, R. (2019). Coherent IC-sheaves on type $A_n$ affine Grassmannians and dual canonical basis of affine type A$_1$. arXiv:1901.05994 - https://arxiv.org/abs/1901.05994
