Workshop "Gauge theories and spin systems: Yang-Mills theory, continuous symmetry, and disorder"

Liouville quantum gravity with central charge in (1,25)

Jul 29, 2025, 9:20 AM

1h

Poppelsdorfer Allee 45, 1. EG, Lecture room (HIM)

Scheduled Talks

Speaker

Prof. Ewain Gwynne (University of Chicago)

Description

I will give an overview of several recent results concerning Liouville quantum gravity in the supercritical (a.k.a. strongly coupled) phase, which corresponds to central charge $c \in (1, 25)$, or equivalently coupling constant $\gamma \in \mathbb{C}$ with $|\gamma|=2$. Such results include the existence of a metric, the non-existence of an area measure, a coupling with $CLE_4$, and connections to random planar maps.
Based on joint works with Morris Ang, Manan Bhatia, Jian Ding, and Jinwoo Sung.