Jones-Wenzl projectors and odd Khovanov homology

Seminar: 
Quantum Topology and Field Theory
Event time: 
Thursday, January 30, 2025 - 4:30pm
Location: 
KT205
Speaker: 
Dean Spyropoulos
Speaker affiliation: 
Michigan State University
Event description: 

In 2010, Cooper and Krushkal provided a categorification of the Jones-Wenzl projectors. In recent work, we provided a new categorification which succeeds in being compatible with odd Khovanov homology—a variant of Khovanov’s original theory defined initially by Ozsváth, Rasmussen, and Szabó. Among the consequences of this result is the construction of a new (“odd”) categorification of the colored Jones polynomial. In this talk, I aim to introduce our categorification of the Temperley-Lieb algebras, highlighting the peculiarities of the odd theory.