Work

Tao-Travkin equivalence revisited

Year: 2026

Type: preprint

Abstract: We give a simpler proof of the theorem of J.~Tao and R.~Travkin saying that (the neutral block of) the affine Hecke category is the monoidal colimit of finite Hecke categories. The argument is axiomatized to apply to various sheaf-theoretic and group-theoretic contexts. We also prove an extension of the Tao-Travkin equivalence for the whole affine Hecke category as a Morita equivalence.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.05465

Authors: Li, Penghui, Nadler, David, Varshavsky, Yakov, Yun, Zhiwei

Institutions: Hebrew University of Jerusalem, Massachusetts Institute of Technology

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, National Natural Science Foundation of China, Israel Science Foundation

Awards: Representation Theory and Symplectic Geometry Inspired by Topological Field Theory, Mechanisms of viral protein trafficking in polarized insect cells

OpenAlex ID: W7220712018

Cites: 4

Cited by:

Related to: 10