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A unified perspective on knot homology

Algebraic Geometry and Number Theory

Speaker: Alexei Oblomkov, UMass
Location: 2112 MSB
Start time: Thu, Jun 8 2023, 3:10PM

The talk is based on the joint work with Lev Rozansky. In my talk I will explain how one can construct HOMFLY-PT, $gl(n|m)$ and annular $gl(m)$-homology from the same starting ingredient: the braid group action on coherent sheaves on the Steinberg varieties. I will explain various conjectures and applications follow from the construction.