Schedule of the talks

1. September 9: Dario Beraldo, Introduction and outline of the seminar.[1,2,3]
2. September 16: Dario Beraldo, The Fourier-Mukai transform and the Langlands correspondence for GL(1). [4]
3. September 23: Dan Pomerleano, The Hitchin system. [5,6]
   
4. September 30: Dan P, Spectral curves, continued; Constantin T, Quick overview of symplectic, GTI and hyperkaehler quotients.
5. October 7: Kevin Lin, Higgs bundles, local systems and harmonic maps. [7,8]
   
6. October 14: Damien Mondragon, Topology of the moduli of Higgs bundles and Mirror Symmetry. [9]
   
7. October 21: William Slofstra, Cameral covers and duality of Hitcin fibers [6]
   
8. October 28: George Melvin, Geometric Satake correspondence and Hecke eigensheaves.
   (Statement of the geometric Langlands conjecture after Laumon, Beilinson, Drinfeld)[1,2,6]
9. November 4: Constantin Teleman (?), Trace formulas, adele groups and automorphic representations.
   
10. November 11: Outside speaker (?), TBD
    
11. November 18: Alex Paulin (?), TBD (number-theory aspects of geometric Langlands
    
12. November 25: Thanksgiving, no meeting
    
13. December 2: Constantin Teleman (?), The fundamental lemma and its motivic interpretation [10]
    
14. December 9: Constantin Teleman (?), Ngo's work on the Hitchin system [11]
    

Comments: Thanks in advance to all the volunteers and participants!

References:

1. E. Frenkel: Lectures on the Langlands program and Conformal Field Theory. arXiv:hep-th/0512172.
   Recent advances in the Langlands program. arXiv:math/0303074
2. A. Beilinson, V. Drinfeld: Quantization of the Hitchin system.
3. A. Kapustin, E. Witten: Electric-Magnetic duality and the geometric Langlands program. arXiv:hep-th/0612073
4. G. Laumon: Transformation de Fourier generalisee. arXiv:alg-geom/9603004
5. N. Hitchin: Stable bundles and integrable systems. Duke Math. J. 54, 1987
6. R. Donagi, T. Pantev: Langlands duality for Hitchin systems. arXiv:math/0604617
7. N. Hitchin: The self-duality equations on a Riemann surface. Proc. LMS 55, 1987
8. S. Donaldson: Twisted harmonic maps and the self-duality equations. Proc. LMS 55, 1987
9. T. Hausel, M. Thaddeus: Mirror symmetry, Langlands duality and the Hitchin system. Invent. Math. 153, 2003
10. D. Nadler: The geometric nature of the Fundamental Lemma. Preprint
11. B.-C. Ngo: Fibration de Hitchin et endoscopie. Invent. Math. 164, 2006