Abstract:
In this talk, we will explain the relation between (infinite dimensional) Teichmüller spaces of hyperbolic metrics on oriented 2-manifolds with ideal boundary and the Virasoro algebra. This work is motivated by recent results on Jackiw-Teitelboim gravity, and by the study of moduli spaces of flat connections on surfaces with boundary.
 
The talk is based on a joint work with Eckhard Meinrenken, see arXiv:2401.03029