The upcoming talk
At the next session of the TCS,
on the 18th of December 2024,
at 2:15 – 4:15 p.m. CET / 3:15 – 5:15 p.m. EET
Anton Yu. Alexeev
(Université de Genève)
shall talk about
“Jackiw-Teitelboim gravity, Teichmüller spaces, and Virasoro algebra“.
Abstract
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.
In the first part of the talk, we will recall the relation between Hamiltonian actions of Lie algebras and their central extensions, and we will consider an example given by the Meinrenken-Woodward theory of Hamiltonian actions of loop groups on moduli spaces of flat connections.
In the second part of the talk, we will turn to an example of Teichmüller spaces associated to surfaces with ideal boundary. We will show that they carry a natural Hamiltonian action of diffeomorphisms of the boundary, and that this action gives rise to the Virasoro central extension.
If time permits, we will state some open problems in the field.
The talk is based on a joint work with Eckhard Meinrenken, see arXiv:2401.03029.
(All seminar talks are given on the online zoom platform. The web link for every session is circulated via the TCS mailing list. In order to be enlisted, please contact the Organisers.)
Calendar 2024/2025
| Date | Speaker (affiliation) | Title (with a link to the slides, whenever available) |
| October 9th, 2024 | Thomas Strobl (ICJ, Université Claude Bernard Lyon 1) | From Gauge Theories to the octonionic Lie groupoid |
| October 16th, 2024 | Calin I. Lazaroiu (IFIN-HH, București & UNED, Madrid) | Consistency conditions and fiducial 2-field models for SRRT inflation |
| October 23rd, 2024 | Alexander Schmeding (NTNU, Trondheim) | Linking infinite-dimensional and higher differential geometry |
| October 30th, 2024 | Konrad Waldorf (Universität Greifswald) | Buscher rules in general topology |
| November 6th, 2024 | Mikołaj Rotkiewicz (MIMUW, Warsaw) | Exploring the structure of higher algebroids |
| November 13th, 2024 | No seminar on this date. | – |
| November 20th, 2024 | Participation in an online lecture by Alain Connes (Collège de France & IHES, Paris) at IM PAS | From class field theory to ζ spectral triples |
| November 27th, 2024 | Marian Aprodu (IMAR, București) | Resonance and vector bundles |
| December 4th, 2024 | Carlos Shahbazi (UNED, Madrid) | A class of differential-geometric problems in supergravity |
| December 11th, 2024 | No seminar on this date. | – |
| December 18th, 2024 | Anton Alekseev (Université de Genève) | Jackiw-Teitelboim gravity, Teichmüller spaces, and Virasoro algebra |
| January 8th, 2025 | Ingo Runkel (Universität Hamburg) | TBA |
| January 15th, 2025 | ||
| January 22nd, 2025 | Peter Kristel (Universität Greifswald) | TBA |