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Algebra and Geometry Seminar

Monday, January 27, 2020
4:00pm to 5:00pm
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Linde Hall 387
Geometric Langlands for hypergeometric sheaves
Lingfei Yi, Department of Mathematics, Caltech,

The geometric Langlands conjecture says that for irreducible local systems on a curve, one can attach corresponding Hecke eigensheaves. In the unramified case, this is known for GL_n by the work of Frenkel-Gaitsgory-Vilonen, but only a few cases are known in the ramified case. We construct the Hecke eigensheaves explicitly for an important class of ramified local systems called hypergeometric sheaves, generalizing the work of Heinloth-Ngo-Yun in the case of GL_n. This is joint work with Masoud Kamgarpour.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].