Symplectic geometry of projective structures on surfaces with boundary (Eckhard MEINRENKEN, Toronto)

13.05.2026 10:00 – 12:00

Let $\Sigma$ be a compact, oriented surface with boundary. In work with Anton Alekseev, we found that the Teichmueller space of hyperbolic 0-metrics on $\Sigma$, up to isotopies fixing the boundary, is naturally a symplectic manifold with a Hamiltonian Virasoro action.

In more recent work with Ahmadreza Khazaeipoul, we give a similar construction for the deformation space of convex projective structures
with nondegenerate boundary, and show that it is a Hamiltonian space for the symplectic groupoid integrating the Adler-Gelfand-Dikii Poisson structure.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-15, Séminaire "Groupes de Lie et espaces de modules"

entrée libre