Representations of the Double Dyck Path Algebra and Connections to the Elliptic Hall Algebra

Mon Dec 2, 2024 4:30 p.m.—5:30 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

This event has passed.

Seminar: 
Geometry, Symmetry and Physics

Event time: 
Monday, December 2, 2024 - 4:30pm

Location: 
KT 801

Speaker: 
Nicolle González

Speaker affiliation: 
Berkeley

Event description: 
The double Dyck path algebra B_{q,t} is constructed from an infinite quiver of affine Hecke algebras connected via raising and lowering operators. In this talk I will discuss joint work with Eugene Gorsky and Jose Simental where we construct and classify the semisimple representations of  B_{q,t}. I will also explain how the elliptic Hall algebra arises as the spherical subalgebra of B_{q,t}. 

Research Area(s): 
Representation Theory