SMRI Algebra and Geometry Online: Shan -- Coherent categorification of quantum loop sl(2)

SMRI Algebra and Geometry Online

’Coherent categorification of quantum loop sl(2)’
Peng Shan (Tsinghua University)
Monday 26th October 
2:00pm-3:30pm (AEDT)


Online via Zoom

Abstract: 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 A_1, 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.

Register:
https://uni-sydney.zoom.us/meeting/register/tZYvcuqqpjsqHNGsmqtNEAAh5V1so19glqNq