Title: Character varieties, Coulomb branches, and clusters.

Date: 10/29/2019

Time: 3:00 PM - 4:00 PM

Place: C204A Wells Hall

Quantum groups admit two different geometric realizations: as quantized character varieties and as quantized Coulomb branches of certain gauge theories. These realizations endow a quantum group with two, a priori different, cluster structures. In this talk I will show these structures, explain why they coincide, and say what they have to do with Gelfand-Tsetlin subalgebras, higher rank Fenchel–Nielsen coordinates, and modular functor from higher Teichmüller theory. This talk will be based on joint works with Gus Schrader.