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Meeting ID: 620 8437 6529, Passcode: 831811
Abstract: Hypergeometric sheaves are rigid local systems on the punctured projective line. Their study originated in the seminal work of Riemann on the Euler?Gauss hypergeometric function and has blossomed into an active field with connections to many areas of math- ematics. In the modern era, the subject of hypergeometric (and more generally rigid) local systems was rejuvenated in the works of Katz, who elucidated their motivic nature. The core conjecture of the geometric Langlands program predicts that one can associate to every local system on a curve X, a Hecke eigensheaf on the moduli of bundles (with appropriate level structures) on X. In this talk, I will explain how to construct the Hecke eigensheaves associated to hypergeometric local systems.
This is based on joint works with Lingfei Yi and Daxin Xu (arxiv.org/abs/2006.10870 and https://arxiv.org/pdf/2201.08063.pdf)
Angelegt am 26.01.2022 von Heike Harenbrock
Geändert am 26.01.2022 von Heike Harenbrock
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