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arXiv · 1609.05176

Components of affine Springer fibers

Cheng-Chiang Tsai
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Abstract

Let $\mathbf{G}$ be a connected split reductive group over a field of characteristic zero or sufficiently large characteristic, $γ_0\in(\operatorname{Lie}\mathbf{G})((t))$ be any topologically nilpotent regular semisimple element, and $γ=tγ_0$. Using methods from $p$-adic orbital integrals, we show that the number of components of the Iwahori affine Springer fiber over $γ$ modulo $Z_{\mathbf{G}((t))}(γ)$ is equal to the order of the Weyl group.

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BibTeXRIS

Cheng-Chiang Tsai. 2017-09-04. Components of affine Springer fibers. https://arxiv.org/abs/1609.05176

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