Peng Shan: Coherent categorification of quantum loop sl(2)

'Coherent categorification of quantum loop sl(2)' Peng Shan (Tsinghua University) 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.

Видео Peng Shan: Coherent categorification of quantum loop sl(2) автора Amazing Discoveries