Hot Topics Seminar "Geometric Langlands Program". Spring 2007

Date

Speaker

Title

Reading

Jan 30 Edward Frenkel Overview of the classical and geometric Langlands Correspondence Sects. 1.1, 10.5.1, 10.5.2
Feb 6 Xinwen Zhu Local geometric Langlands Correspondence and representations of affine Kac-Moody algebras Ch. 1, Sects. 2.1, 10.1, 10.2
Feb 13 A.J. Tolland Opers and the theorem about the center Sects. 4.1-4.3
Feb 20 Ben Webster Unramified case, I: classical and geometric Satake correspondence Sects. 10.3.1, 10.3.5, Mirkovic-Vilonen work
Feb 27 Ben Webster Unramified case, I: classical and geometric Satake correspondence Sects. 10.3.1, 10.3.5, Mirkovic-Vilonen work
March 6 Peter Tingley Unramified case, II: categories of modules over the affine Kac-Moody algebra Sects. 10.3.2-10.3.4
March 13 Peter Tingley Unramified case, II: categories of modules over the affine Kac-Moody algebra Sects. 10.3.2-10.3.4
March 20 Reimundo Heluani Unramified case, III: categories of Hecke eigensheaves on the affine Grassmannian Sects. 10.3.6-10.3.7
April 3 Reimundo Heluani Unramified case, III: categories of Hecke eigensheaves on the affine Grassmannian Sects. 10.3.6-10.3.7
April 10 Joel Kamnitzer Tamely ramified case, I: representations of the affine Hecke algebras in algebraic K-theory of Springer fibers Sect. 10.4.1 and Chriss-Ginzburg book
April 17 Scott Carnahan Tamely ramified case, II: nilpotent opers and Miura opers Sects. 9.1-9.3
April 24 Joel Kamnitzer Tamely ramified case, III: categories of Harish-Chandra modules and coherent sheaves on the Springer fibers Sects. 10.4.2-10.4.4, 10.4.6
May 1 Joel Kamnitzer Tamely ramified case, III: categories of Harish-Chandra modules and coherent sheaves on the Springer fibers Sects. 10.4.2-10.4.4, 10.4.6
May 8 Edward Frenkel Local and global geometric Langlands correspondence Sect. 10.5

References are to sections in the book by E. Frenkel Langlands Correspondence for Loop Groups