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2-Verma modules and the Khovanov-Rozansky link homologies

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HTLW04 - Quantum topology and categorified representation theory

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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