A colimit of traces of reflection groups

2018/10/16 by Penghui Li, Li, Penghui
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1810.07039

5 pages

arxiv created 2018/10/16 · openalex publication_date 2018/10/16 · arxiv updated 2018/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Derived categories of character sheaves

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