Braid varieties

Eugene Gorsky
September 19, 2023
10:20AM - 11:15AM
MW 154

Date Range
2023-09-19 10:20:00 2023-09-19 11:15:00 Braid varieties Title:  Braid varieties Speaker:  Eugene Gorsky (UC Davis) Speaker's URL:  https://www.math.ucdavis.edu/~egorskiy/ Abstract:  I will introduce and discuss a remarkable class of algebraic varieties, called braid varieties. These include all open Richardson and positroid varieties, and are closely related to augmentation varieties for Legendrian links. The topology of braid varieties is related to various link invariants such as HOMFLY polynomial and Khovanov-Rozansky homology, while their coordinate ring has a cluster structure. The talk is based on joint works with Roger Casals, Mikhail Gorsky, Ian Le, Linhui Shen and Jose Simental. URL associated with Seminar:  https://research.math.osu.edu/agseminar/ MW 154 Department of Mathematics math@osu.edu America/New_York public

Title:  Braid varieties

Speaker:  Eugene Gorsky (UC Davis)

Speaker's URLhttps://www.math.ucdavis.edu/~egorskiy/

Abstract:  I will introduce and discuss a remarkable class of algebraic varieties, called braid varieties. These include all open Richardson and positroid varieties, and are closely related to augmentation varieties for Legendrian links. The topology of braid varieties is related to various link invariants such as HOMFLY polynomial and Khovanov-Rozansky homology, while their coordinate ring has a cluster structure.

The talk is based on joint works with Roger Casals, Mikhail Gorsky, Ian Le, Linhui Shen and Jose Simental.

URL associated with Seminar:  https://research.math.osu.edu/agseminar/

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