2022 Spring Quantum Teichmüller theory

Description：

The Teichmüller space of a surface is a fundamental construction in low-dimensional geometry and topology. It is a space parametrizing hyperbolic structures on the surface up to isotopy. The goal of quantum Teichmüller is to construct a quantum deformation of the algebra of functions on the classical Teichmüller space. This course will give an introduction to these ideas and their applications in mathematical physics.

Prerequisites

Basic differential geometry and algebraic topology