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Graduate Seminar
Geometric Langlands fuer Dummies
Herbert Kurke
15 Jul 2007, 15:00 – 17:00

The GLC is the following: One expects an equivalence between compactly supported derived categories (of bounded complexes) of coherent sheaves on $ {\rm Loc}(X,G)$ and of coherent $ {\cal D}$ -modules on $ {\rm Bun}(X,G')$ . Moreover, this correspondence should associate to points [E] of $ {\rm Loc}(X,G)$ (identified with the 1-dimensional skyscraper-sheaf supported in [E]) so-called ''automorphic $ {\cal D}$ -modules'' = "Hecke-Eigensheaves to E". We will explain this notion in some detail, and results obtained in this direction.

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Activities 2007