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# D. Galakhov – Physically Inspired Mathematics Seminar

## November 9, 2018 @ 4:45 pm - 5:45 pm

**Title:** *Knot invariants from A-branes*

**Abstract:** We propose a categorification of Chern-Simons invariants of knots in Euclidean 3d space associated

to a simple Lie algebra, based on category of A-branes in finite dimensional Landau-Ginzburg (LG) models. The category of A-branes in such abstract LG model was constructed recently by Gaiotto, Moore and Witten; its mathematical counterpart is a version of Fukaya-Seidel category. The specific Landau-Ginzburg model needed is derived from string theory. I will also explain the relation to some other approaches to the same problem.

This talk is based on a joint work with G.Moore and on-going project with M.Aganagic.