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Ina Reckermann

Mittagsseminar zur Arithmetik: João Lourenço: Modular ramified Satake

Tuesday, 16.04.2024 10:15 im Raum SR 1C

Mathematik und Informatik

The geometric Satake equivalence goes back to Mirkovi?--Vilonen and describes the category of perverse sheaves on the affine Grassmannian of a reductive group G over a power series ring in terms of the category of representations of its dual group. In this talk, we will consider instead the affine Grassmannian of a special parahoric model \mathcal{G} over a power, and prove the geometric Satake equivalence for their category of perverse sheaves, generalizing previous work of Richarz--Zhu from \mathbb{Q}_\ell- to \mathbb{Z}_\ell- and \mathbb{F}_\ell-coefficients. This is joint work with P. Achar, T. Richarz, and S. Riche.



Angelegt am 15.04.2024 von Ina Reckermann
Geändert am 15.04.2024 von Ina Reckermann
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