Virasoro Hamiltonian spaces

Anton Alekseev (University of Geneva)

15-Nov-2022, 14:00-15:00 (17 months ago)

Abstract: In this talk, we consider Hamiltonian actions of the group of diffeomorphisms of the circle. This is a semiclassical countepart of Virasoro algebra actions in Conformal Field Theory. The main examples include Virasoro coadjoint orbits (previously studied by Segal, Kirillov, Witten and others) and moduli spaces of hyperbolic metrics on surfaces with boundary. Our study is motivated by recent progress in Jackiw-Teitelboim quantum gravity. In particular, we give mathematical interpretation of some 2D - 1D duality phenomena.

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

mathematical physics

Audience: researchers in the discipline


One world IAMP mathematical physics seminar

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Organizers: Margherita Disertori*, Wojciech Dybalski*, Ian Jauslin, Hal Tasaki*
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