Virasoro semi-groups and conformal blocks

Colin Guillarmou (U Paris-Saclay)

Jul 14. 2023, 11:00 — 11:50

We construct explicit representations of Virasoro algebra from Markov semigroups quantizing flows of holomorphic vector fields, and we use this to compute the scattering matrix explicitly and to define rigorously and study the conformal blocks for certain conformal field theories with central charge c>25 and continuous spectrum.
This is joint work with G. Baverez, A. Kupiainen, R. Rhodes and V. Vargas.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Spectral Theory and Mathematical Relativity (Thematic Programme)
Piotr T. Chruściel (U of Vienna)
Peter Hintz (ETH Zurich)
Alexander Strohmaier (U Leeds)
Steven Morris Zelditch † (Northwestern U Evanston)