Time | Items |
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All day |
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4:00pm |
04/08/2024 - 4:30pm The geometric Satake equivalence is a celebrated construction (with contributions by Lusztig, Ginzburg, Drinfeld and Mirkovic-Vilonen) that realizes the category of representations of a connected reductive group as a category of perverse sheaves on the affine Grassmannian of the Langlands dual group. In the setting of l-adic coefficients, Zhu and Richarz have studied a variant of this construction in a "ramified" situation, where the group of which one takes the affine Grassmannian can be a non constant group scheme over formal loops. In this talk I'll explain a version of this equivalence for general coefficients; the Tannakian group on the dual side is then a certain group of fixed points for automorphisms of a reductive group, which is not necessarily smooth. This is joint work with P. Achar, J. Lourenço and T. Richarz. Location:
KT217
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Links
[1] https://math.yale.edu/calendar/grid/day/2024-04-07
[2] https://math.yale.edu/calendar/grid/day/2024-04-09
[3] https://math.yale.edu/event/tba-cancelled
[4] https://math.yale.edu/event/modular-ramified-satake-equivalence
[5] https://math.yale.edu/print/list/calendar/grid/day/2024-04-08
[6] webcal://math.yale.edu/calendar/export.ics