The UVM Department of Mathematics and Statistics is proud to present the Mathematics and Statistics Department Colloquium:

Polytopes from quiver representations

with Dr. Hugh Thomas, Université du Québec à Montréal

Friday, March 21
3:30 PM-4:30PM
Votey Hall, Room 207

Abstract: I will explain how interesting polytopes arise out of the representation theory of quivers. Resulting polytopes include the well-known associahedron, originally developed by Stasheff in the context of homotopy theory, but now relevant to many areas of mathematics. The polytopes whose construction I will be discussing are motivated by problems in Lie theory and algebraic combinatorics, as well as applications in the physics of scattering amplitudes. No prior knowledge of any of these areas will be necessary to appreciate the talk.