Unipotent representations and the categorical trace of Frobenius

Wyatt Reeves

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arXiv · 2609.39721

Unipotent representations and the categorical trace of Frobenius

Wyatt Reeves

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Abstract

We give a new proof of the classification of unipotent representations for split finite groups of Lie type. To do this, we first construct an (infinity, 2)-categorification of Lusztig's map from the Hecke algebra to the asymptotic algebra. Then we use the theory of weights to show that it induces an isomorphism after applying trace of Frobenius.

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Wyatt Reeves. 2026-10-22. Unipotent representations and the categorical trace of Frobenius. https://arxiv.org/abs/2609.39721

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