A colimit of traces of reflection groups

Li, Penghui

A colimit of traces of reflection groups

Li P. 2019. A colimit of traces of reflection groups. Proceedings of the American Mathematical Society. 147(11), 4597–4604.

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https://arxiv.org/abs/1810.07039 [Preprint]

DOI

10.1090/proc/14586

Journal Article | Published | English

Scopus indexed

Author

Li, Penghui^ISTA

Department

Hausel Group

Grant

Arithmetic and physics of Higgs moduli spaces

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.

Publishing Year

2019

Date Published

2019-11-01

Journal Title

Proceedings of the American Mathematical Society

Publisher

AMS

Volume

147

Issue

Page

4597-4604

ISSN

0002-9939

eISSN

1088-6826

IST-REx-ID

6986

Cite this

Li P. A colimit of traces of reflection groups. Proceedings of the American Mathematical Society. 2019;147(11):4597-4604. doi:10.1090/proc/14586

Li, P. (2019). A colimit of traces of reflection groups. Proceedings of the American Mathematical Society. AMS. https://doi.org/10.1090/proc/14586

Li, Penghui. “A Colimit of Traces of Reflection Groups.” Proceedings of the American Mathematical Society. AMS, 2019. https://doi.org/10.1090/proc/14586.

P. Li, “A colimit of traces of reflection groups,” Proceedings of the American Mathematical Society, vol. 147, no. 11. AMS, pp. 4597–4604, 2019.

Li P. 2019. A colimit of traces of reflection groups. Proceedings of the American Mathematical Society. 147(11), 4597–4604.

Li, Penghui. “A Colimit of Traces of Reflection Groups.” Proceedings of the American Mathematical Society, vol. 147, no. 11, AMS, 2019, pp. 4597–604, doi:10.1090/proc/14586.

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