$p$-DG structures in higher representation theory

Date
2021/12/09 Thu 21:00 - 22:30
Speaker
Joshua Sussan
Affiliation
City University of New York
Abstract

One of the goals of the categorification program is to construct a homological invariant of $3$-manifolds coming from the higher representation theory of quantum groups. The WRT $3$-manifold invariant uses quantum groups at a root of unity.
$p$-DG theory was introduced by Khovanov as a means to categorify objects at prime roots of unity. We will review this machinery and show how to construct categorifications of certain representations of quantum $\mathfrak{sl} (2)$ at prime roots of unity.

This will be a zoom seminar:
Zoom URL: https://us02web.zoom.us/j/83158135675
passcode: The order of the Weyl group of type $E_6$