Hochschild homology of affine Hecke algebras

Seminar: 
Geometry, Symmetry and Physics
Event time: 
Thursday, November 3, 2016 - 12:30pm to 2:00pm
Location: 
206LOM
Speaker: 
Peter Samuelson
Speaker affiliation: 
University of Edinburgh
Event description: 

The sum over n of the (degree 0) Hochschild homology of the affine Hecke algebras AH_n of type A is an algebra. We given an explicit presentation of this algebra and then explain its relation to the Hall algebra of an elliptic curve, the Homfly skein algebra of the torus, and the trace algebra of a q-version of Khovanov’s Heisenberg category. (Based on joint work with Morton and with Cautis, Lauda, Licata, and Sussan.)