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2-Verma modules and the Khovanov-Rozansky link homologies

Presented by: 
Pedro Vaz Université Catholique de Louvain
Date: 
Thursday 29th June 2017 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
In this talk I will describe a construction of Khovanov and Rozansky's HOMFLY-PT and sl(N)-link homologies using a categorification of certain parabolic Verma modules for gl(2k), the latter based on a generalization of Khovanov-Lauda-Rouquier algebras.I will also explain how to prove a conjecture about the spectral sequence from the HOMFLY-PT-link homology to the sl(N)-link homology (due to Dunfield, Gukov and Rasmussen) using our version of these link homologies.This is joint work with G. Naisse.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons