Eugene Gorsky - Algebra and Geometry of Link Homology

Collection Eugene Gorsky - Algebra and Geometry of Link Homology

Organizer(s) Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov
Date(s) 05/07/2021 - 16/07/2021
linked URL https://indico.math.cnrs.fr/event/5382/
00:00:00 / 00:00:00
2 5

Algebra and Geometry of Link Homology 2/5

By Eugene Gorsky

Khovanov and Rozansky defined a link homology theory which categorifies the HOMFLY-PT polynomial. This homology is relatively easy to define, but notoriously hard to compute. I will discuss recent breakthroughs in understanding and computing Khovanov-Rozansky homology, focusing on connections to the algebraic geometry of Hilbert schemes of points, affine Springer fibers and braid varieties.

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