[geometry-ml:03644] MS seminar at Kavli IPMU -- Ryo Fujita and Harold Williams -- Apr 11, 2019

[Todor Milanov]

Dear all,

I would like to announce the following two Mathematics and String theory seminars at Kavli IPMU

1) 
Speaker: Harold Williams (UC Davis)
Date:	Thu, Apr 11, 2019, 13:15 - 14:45
Place:	Seminar Room B

Title and Abstract will be available soon on the seminar webpage
https://research.ipmu.jp/seminar/?seminar_id=2269

2) 
Speaker: Ryo Fujita (Kyoto University)
Date:	Thu, Apr 11, 2019, 15:30 - 17:00
Place:	Seminar Room A

Title:	Coherent IC-sheaves on type $A_n$ affine Grassmannians and dual canonical basis of affine type $A_1$

Abstract: The convolution ring of the equivariant K-theory of the $GL_n$ affine Grassmannian is a simplest example of the quantized K-theoretic Coulomb branch of a quiver gauge theory (for $A_1$-quiver). It was identified with a quantum unipotent cell of the loop group $LSL_2$ as a quantum cluster algebra by Cautis-Williams via their monoidal categorification theorem. In this talk, we further identify the basis formed by the classes of irreducible equivariant perverse coherent sheaves (coherent IC-sheaves) with the dual canonical basis of the quantum unipotent cell. For a proof, we apply Bezrukavnikov's theory of equivariant perverse coherent sheaves on the nilpotent cones of type A. This is a joint work with Michael Finkelberg.

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Todor Eliseev Milanov
Associate Professor 
Kavli IPMU,  Japan

todor.milanov ＠ ipmu.jp