Topology Atlas | Conferences

Knots in Washington XLVI: 70th Birthday of Oleg Viro;
May 4-6, 2018
George Washington University,
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU)

Conference Homepage


2-Verma modules and the Khovanov-Rozansky link homologies, II
by
Grégoire Naisse
Université catholique de Louvain (Belgium)
Coauthors: Pedro Vaz

I'll explain the categorification of parabolic Verma modules for gl(2k) which uses categories of dg-modules over enhanced KLR algebras. In particular, I'll explain how one can interpret usual cyclotomic KLR algebras as minimal models of richer dg-algebras. This extra structure is a key ingredient in the proof of the Dunfield--Gukov--Rassmussen conjecture, stating that the KR gl(N)-link invariant is the homology of the KR HOMFLYPT invariant w.r.t. a certain differential. I'll give the main ideas of the proof.

Date received: February 12, 2018

Copyright © 2018 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cboy-05.