Integrability in Conformal Probability

A virtual workshop, October 4–8, 2021.

Many important objects in conformal probability exhibit rich integrable structure, namely, certain observables can be solved exactly. Such objects include Liouville quantum gravity (LQG), Liouville conformal field theory (LCFT), Schramm-Loewner evolution (SLE), and conformal loop ensemble (CLE). Some of the integrable structures are predicted by conformal field theory, while others have been recently uncovered from the coupling of SLE and LQG. This workshop is centered around recent advances in this direction and gathers researchers from diverse backgrounds to facilitate further development.

The workshop takes place virtually during Oct 4th to 8th, 2021. It consists of 2 three-lecture series and 8 individual talks. The lecture series are:

• Lecture Series 1: Equivalence between the probabilistic and the bootstrap approach to Liouville theory,
  by Colin Guillarmou, Antti Kupiainen, and Vincent Vargas.

• Lecture Series 2: Integrability of SLE and CLE via conformal welding and LCFT,
  by Morris Ang, Nina Holden, and Xin Sun.

The talks take place between 9:30 am - 12:30 pm US Eastern daylight saving time, which is 3:30 pm - 6:30 pm Central European summer time.