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Cluster Structures on Braid Varieties

Student-Run Research Seminar

Speaker: Tonie Scroggin, UC Davis
Location: 1147 Mathematical Science Building
Start time: Wed, Oct 4 2023, 12:10PM

Given a simple algebraic group $G$ and an element $\beta$ of the positive braid monoid, we consider an affine, smooth algebraic variety $X(\beta)$ which includes well known varieties in Lie theory such as open Richardson and positroid varieties. In this talk we will show that the coordinate ring of regular functions of any braid variety is a cluster algebra using Lusztig cycles in algebraic weaves.

Free Pizza