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Seminar of Geometry and Arithmetic, Spring 2007 Fridays at 1:30pm in South Hall, Room SH 6635
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| April 6, 2007 | Abstract: After reviewing some of the things that we have discussed so far, I shall try and explain what a Hecke eigensheaf is. We will then be in a position to state the geometric Langlands conjecture for GL_n (which is actually now a theorem);, and to plan for the (now probably somewhat altered) future. |
| April 13, 2007 | Abstract: The Fourier transform naturally relates a torus to the dual torus. If the torus has a complex structure, or an algebraic structure (i.e., it is an abelian variety), then this structure is present on the dual torus and Fourier transform respects the structure. More than 20 years ago, Mukai studied the action of the Fourier transform on coherent sheaves. Because the Fourier transform involves pushing forward sheaves (not just pulling back sheaves), the natural context here is the derived category of coherent sheaves. (We will explain this point.) |
| April 20, 2007 | Abstract: |
| April 27, 2007 | Abstract: |
| May 4, 2007 | Abstract: |
| May 11, 2007 | Abstract: |
| May 18, 2007 | Abstract: |
| May 25, 2007 | Abstract: I will talk about classic results for N=4 Supersymmetric Yang Mills theory: the definition and action of the theory, the structure of vacua, the spectrum of BPS particles, Dirac quantization of electric and magnetic charges and S-duality |
| June 1, 2007 | Abstract: This will be an introduction to the paper of Kapustin and Witten of the same title. |
| June 8, 2007 | Abstract: |
