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arXiv · 2504.03341

Perverse sheaves on the semi-infinite flag variety and representations of the Frobenius kernel

Emilien Zabeth
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Abstract

We study a category of Iwahori-equivariant modular perverse sheaves on some avatar of the semi-infinite flag variety, by adapting the work of Arkhipov-Bezrukavnikov-Braverman-Gaitsgory-Mirkovi\'c. We then construct a functor between the latter category and the category of graded representations of the Frobenius kernel, and conjecture that this functor is an equivalence.

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BibTeXRIS

Emilien Zabeth. 2025-04-04. Perverse sheaves on the semi-infinite flag variety and representations of the Frobenius kernel. https://arxiv.org/abs/2504.03341

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