Fall 2006 The Geometric Langlands - Quantum Field Theory Seminar TIME:

Tuesdays at 4:00 in 1334 LGRT.

SEMINAR NOTES (evolving):

• 1. Geometric Langlands Program    Nov. 29, 06.
• Appendix 1A. Langlands Conjecture for D-modules in positive characteristic    Feb. 20, 07.
• 2. Some Things Phycists Do,    Dec. 28, 06.
• 3. Kapustin-Witten Approach to Geometric Langlands,    Dec. 28, 06.
• Appendix 1.: Feynman Graphs
• Appendix 2. Super math notes (old) Sections 1-4 largely follow Deligne-Morgan notes on Bernstein lectures. The rest are various remarks and speculations. The ``super math'' is the background for the ``super'' part of supersymmetry (the remaining ingredient are spinors).
• Appendix 3. Lecture notes on String Theory, The purpose of this introductory course was to get used to physics ideas. So, these (half-revised) notes start at zero and do not go very far, but most of it should be user friendly. Content: Ideas of Classical Mechanics, passage to Quantum Mechanics and a bit of Super-Symmetric quantum mechanics, but no Quantum Field Theory. Free strings: classical solutions and quantization by Polyakov path integral and via a Hilbert space. A representation theory view on the Hilbert space quantization. No exciting contemporary String Theory.

TALKS: