February 19 : Alexander Shapiro

Title: Postive Peter-Weyl theorem.

Abstract: The classical Peter-Weyl theorem asserts that the regular representation of a compact Lie group on the space of square-integrable functions decomposes as the direct sum of all irreducible unitary representations of . In the talk, I will use positive representations of cluster varieties, to obtain a "non-compact" quantum analogue of the Peter-Weyl theorem. This is a joint work with Ivan Ip and Gus Schrader.