Trace of the affine Hecke category

Seminar: 
Geometry, Symmetry and Physics
Event time: 
Tuesday, October 14, 2025 - 4:30pm
Location: 
KT 801
Speaker: 
Eugene Gorsky
Speaker affiliation: 
UC Davis
Event description: 

The affine Hecke category, defined using affine Soergel bimodules, categorifies the affine Hecke algebra. I will compare the derived horizontal trace of the affine Hecke category with the elliptic Hall algebra, and with the derived category of the commuting stack. In particular, I will describe certain explicit generators for the trace category and some categorical commutation relations between these. This is a joint work with Andrei Negut.