Authors: Vladimir Fock, Andrey Marshakov, Florent Schaffhauser, Constantin Teleman, Richard Wentworth
Editors: Luis Alvarez Consul, Jørgen Ellegaard Andersen, Ignasi Mundet i Riera
Presents introductory lectures on different aspects of the modern perspective on moduli spaces of local systems on surfaces
Considers both classic and quantum aspects of moduli spaces
Includes contributions by leading experts in the field
This volume is based on four advanced courses held at the Centre de Recerca Matemàtica (CRM), Barcelona. It presents both background information and recent developments on selected topics that are experiencing extraordinary growth within the broad research area of geometry and quantization of moduli spaces. The lectures focus on the geometry of moduli spaces which are mostly associated to compact Riemann surfaces, and are presented from both classical and quantum perspectives.