# Quantum Gravity in 2 dimension and Liouville Theory

### APA

David, F. (2014). Quantum Gravity in 2 dimension and Liouville Theory. Perimeter Institute. https://pirsa.org/14110130

### MLA

David, Francois. Quantum Gravity in 2 dimension and Liouville Theory. Perimeter Institute, Nov. 19, 2014, https://pirsa.org/14110130

### BibTex

@misc{ pirsa_PIRSA:14110130, doi = {10.48660/14110130}, url = {https://pirsa.org/14110130}, author = {David, Francois}, keywords = {Other}, language = {en}, title = {Quantum Gravity in 2 dimension and Liouville Theory}, publisher = {Perimeter Institute}, year = {2014}, month = {nov}, note = {PIRSA:14110130 see, \url{https://pirsa.org}} }

Francois David CEA Saclay

## Abstract

Gravity in 1+1 dimension is classically trivial but, as shown by A. Polyakov in 1981, it is a non-trivial quantum theory, in fact a conformal field theory (the Liouville theory), and also a string theory. In the last decades many important results and connexions with various areas of mathematics and theoretical physics have been established, but some important issues remain to be understood. In this colloquium I shall focus on some recent developments and new questions on the relation between discrete and continuous 2 dimensional gravity, probabilities and stochastic processes, random fractal geometries and SLE curves.