Positroid links and braid varieties

Abstract: I will discuss a class of affine algebraic varieties associated to positive braids, their relation to open positroid strata in Grassmannians and their cluster structures. First, I will introduce the objects of interest, with the necessary ingredients, and motivate the problem at hand. Then we will discuss in detail how the study of a DG-algebra associated to certain links may allow us to better understand the algebraic (and cluster) geometry of Richardson and positroid varieties. Explicit examples of this interplay between topology and algebraic geometry will be illustrated. At a more conceptual level, the talk brings to bear insight from symplectic topology to better understand positroid varieties. This is joint work with E. Gorsky, M. Gorsky and J. Simental.

algebraic geometrycombinatorics

Audience: researchers in the topic

( slides | video )

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Online Nottingham algebraic geometry seminar

Series comments: Online geometry seminar, typically held on Thursday. This seminar takes place online via Microsoft Teams on the Nottingham University "Algebraic Geometry" team.

For recordings of past talks, copies of the speaker's slides, or to be added to the Team, please visit the seminar homepage at: kasprzyk.work/seminars/ag.html

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