A colimit of traces of reflection groups

Li, Penghui

doi:10.1090/proc/14586

A colimit of traces of reflection groups
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by Penghui Li

Proc. Amer. Math. Soc. 147 (2019), 4597-4604

DOI: https://doi.org/10.1090/proc/14586

Published electronically: June 10, 2019

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Abstract:

Li-Nadler proposed a conjecture about traces of Hecke categories, which implies the semistable part of the Betti geometric Langlands conjecture of Ben-Zvi-Nadler in genus 1. We prove a Weyl group analogue of this conjecture. Our theorem holds in the natural generality of reflection groups in Euclidean or hyperbolic space. As a corollary, we give an expression of the centralizer of a finite order element in a reflection group using homotopy theory.

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