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arXiv · 1907.08808

Mod p Hecke algebras and dual equivariant cohomology I: the case of $GL_2$

Cédric Pépin·Tobias Schmidt
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Abstract

Let $F$ be a p-adic local field and $G=GL_2(F)$. Let $\mathcal{H}^{(1)}$ be the pro-p Iwahori-Hecke algebra of $G$ with coefficients in an algebraic closure of $\mathbb{F}_p$. We show that the supersingular irreducible $\mathcal{H}^{(1)}$-modules of dimension 2 can be realized through the equivariant cohomology of the flag variety of the mod p Langlands dual group of $G$.

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BibTeXRIS

Cédric Pépin, Tobias Schmidt. 2019-11-26. Mod p Hecke algebras and dual equivariant cohomology I: the case of $GL_2$. https://arxiv.org/abs/1907.08808

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