Poisson Structures on Character Varieties

Explore a mathematical lecture on Poisson structures on character varieties, delivered by Lisa Jeffrey as part of the Workshop on the role of integrable systems dedicated to John Harnad. Delve into the fascinating relationship between maps of oriented surfaces and their corresponding character varieties, which are spaces of conjugacy classes of representations of the fundamental group into a Lie group. Discover how these maps preserve the Poisson structure under specific conditions, as presented in this joint work with Indranil Biswas, Jacques Hurtubise, and Sean Lawton. Gain insights into this complex mathematical topic during the 40-minute presentation hosted by the Centre de recherches mathématiques (CRM).