Symplectic representation theory / Théorie symplectique des représentations

Collection Symplectic representation theory / Théorie symplectique des représentations

Organizer(s) Bellamy, Gwyn ; Ben-Zvi, David ; Schedler, Travis ; Schiffmann, Olivier ; Shan, Peng

Date(s) 01/04/2019 - 05/04/2019

linked URL https://conferences.cirm-math.fr/1956.html

00:00:00 / 00:00:00

15 19

Irreducible equivariant perverse coherent sheaves on affine Grassmannians of type $A$ and dual canonical bases

By Michael Finkelberg

Also appears in collection : Exposés de recherche

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.

Information about the video

Date of recording 04/04/2019
Date of publication 24/04/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19513003
Cite this video Finkelberg, Michael (04/04/2019). Irreducible equivariant perverse coherent sheaves on affine Grassmannians of type $A$ and dual canonical bases. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19513003
URL https://dx.doi.org/10.24350/CIRM.V.19513003

Domain(s)

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

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