Odd Khovanov homology and higher representation theory

Date(s): Thursday 23rd May 2024 (10:00-11:00)
Contact: Event Convenor Contact: Robert.Laugwitz@nottingham.ac.uk
Description: Speaker's Name: Léo Schelstraete
Speaker's Affiliation: Université Catholique de Louvain
Speaker's Research Theme(s): Quantum mathematics,
Abstract:
Khovanov homology is a homological invariant of links categorifying the Jones polynomial. It is by now well-understood through the lens of higher representation theory, categorifying the relationship between the Jones polynomial and the representation theory of Uq(sl2). Surprisingly, there exists another categorification of the Jones polynomial, called odd Khovanov homology. Subsequently, higher odd (or “super”) analogues were discovered in representation theoretic and geometric contexts. In this talk, I will begin with a gentle introduction to the above, and then explain how odd Khovanov homology can be understood as stemming from a supercategorification of the representation theory of Uq(gl2). This is joint work with Pedro Vaz
Part of online seminar series https://sites.google.com/view/equalseminar/home
Venue: MS Teams talk
Online Conference Link: https://teams.microsoft.com/l/meetup-join/19%3ameeting_MzQ4NzJlOWMtODE3Mi00MWJjLWFmZGQtYmJmZjU1MmEyYmI2%40thread.v2/0?context=%7b%22Tid%22%3a%22bdb74b30-9568-4856-bdbf-06759778fcbc%22%2c%22Oid%22%3a%22f84b053f-905c-462c-a078-2c2438d43815%22%7d

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