Mathematics Colloquium: Symplectic geometry of Teichmueller spaces for surfaces with boundary

Speaker:  Eckhard Meinrenken, University of Toronto

Title:  Symplectic geometry of Teichmueller spaces for surfaces with
boundary

Abstract :  The moduli space of hyperbolic metrics on a compact oriented surface without boundary has a well-known symplectic structure. In this talk, I will describe a generalization to the (infinite-dimensional) moduli space of conformally compact hyperbolic metrics on surfaces with boundary, up to diffeomorphisms fixing the boundary.  The action of boundary diffeomorphisms is Hamiltonian, making this space into an example of a Hamiltonian Virasoro space. (Joint work with Anton Alekseev.) 

Time:  Friday, October 11, 3:30pm – 4:20pm

Place:  Exploratory Hall, room 4106

Zoom and In-person