Seminars & Colloquia Calendar
Cluster structures on Poisson-Lie groups
Michael Gekhtman (Univ. of Notre Dame)
Location: Hill 705
Date & time: Wednesday, 11 March 2020 at 3:30PM - 4:30PM
Abstract: Cluster algebras were introduced by Fomin and Zelevinsky almost 20 years ago and have since found exciting applications in many areas including algebraic geometry, representation theory, integrable systems, theoretical physics and Poisson geometry. The latter connection proved instrumental in uncovering cluster algebra structures in coordinate rings of Poisson varieties such as Grassmannians and double Bruhat cells in semisimple Lie groups. In this talk, based on the joint work with M. Shapiro and A. Vainshtein, I will describe how a Poisson geometric point of view leads to a construction of multiple nonequivalent cluster structures in \(GL(n)\).
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