Lecture Notes on Geometric Langlands and Physics. Workshop at the Erwin Schrodinger Institute, Vienna. January 2007.

Organizers: E. Frenkel, N. Hitchin, N. Nekrasov, J. Schwermer and K. Vilonen.

• David Ben-Zvi: Introduction to Geometric Langlands
• Geometric Langlands and Real Groups (notes from parallel lecture at Gottingen Winterschule on Geometric Langlands)
• Roman Bezrukavnikov: Local Geometric Langlands Correspondence
• Olivier Biquard: Wild nonabelian Hodge theory
• Edward Frenkel: Ramifications of the Geometric Langlands Program
• Ramified Geometric Langlands I
• Ramified Geometric Langlands II
• Sergei Gukov: Gauge theory and tamely ramified Geometric Langlands I
• Tamely ramified Langlands II
• Tamely ramified Langlands III
• Anton Kapustin : Topological field theory and Geometric Langlands
• Loop operators
• Andrei Losev: Quantum field theory for mathematicians I
• QFT for mathematicans II
• Ivan Mirkovic: Geometric Langlands in positive characteristic
• Takuro Mochizuki: Twistor structures and harmonic bundles.
• David Nadler: Constructible Sheaves and the Fukaya Category
• Tony Pantev: Classical Limit of Geometric Langlands I, II (notes from parallel lecture at Gottingen Winterschule on Geometric Langlands).
• Abelianized Hecke Operators
• Graeme Segal: Topological Field Theory, Branes and Elliptic Cohomology