SMRI Algebra and Geometry Online, 26 October: Peng Shan – Coherent categorification of quantum loop sl₂

SMRI Algebra and Geometry Online Seminar
Coherent categorification of quantum loop sl₂
Peng Shan (Tsinghua University)
Monday, 26 October, 14:00–15:30 AEST (Sydney)
Other time zones: Vancouver, Sun 20:00; Toronto, Sun 23:00; London, Mon 04:00; Cape Town, Mon 05:00; Mumbai, Mon 08:30; Beijing, Mon 14:00

We explain an equivalence of categories between a module category of quiver Hecke algebras associated with the Kronecker quiver and a category of equivariant perverse coherent sheaves on the nilpotent cone of type A. This provides a link between two different monoidal categorifications of the open quantum unipotent cell of affine type A₁, one given by Kang–Kashiwara–Kim–Oh–Park in terms of quiver Hecke algebras, the other given by Cautis–Williams in terms of equivariant perverse coherent sheaves on affine Grassmannians. The first part of the talk will be devoted to introduction to quiver Hecke algebras and categorification of quantum cluster algebras. The main result will be explained in the second part. This is a joint work with Michela Varagnolo and Eric Vasserot.

Please register to attend.
The seminar will be held online via Zoom. You will be send a confirmation email with connection details.

This seminar will be recorded and made available on the SMRI Youtube channel.

Stephen Morgan