Hamiltonian actions and miracles of hyperbolic geometry

27.09.2022 15:30 – 16:30

We consider Hamiltonian action of the (central extension of) the group of diffeomorphisms of the circle. One class of interesting examples is given by second order differential operators on the circle. We recall the classification by Lazutkin-Pankratova, Kirillov, Segal, Witten (and others), and we give a new point of view on this result. Another class of interesting examples are moduli spaces of conformally compact hyperbolic metrics on two dimensional surfaces. In this case, the moment map is given by a surprising formula which involves the metric near the boundary and the geodesic curvature of certain curves on the surface.

The talk is based on a joint work in progress with Eckhard Meinrenken.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-07, Séminaire "Groupes de Lie et espaces de modules"

Organisé par

Section de mathématiques

Intervenant-e-s

Anton Alekseev, Université de Genève

entrée libre

Classement

Catégorie: Séminaire