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arXiv · 2610.05465

Tao-Travkin equivalence revisited

Penghui Li·David Nadler·Yakov Varshavsky·Zhiwei Yun
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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.

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Penghui Li, David Nadler, Yakov Varshavsky, Zhiwei Yun. 2026-10-04. Tao-Travkin equivalence revisited. https://arxiv.org/abs/2610.05465

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