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arXiv · 1307.4669

A categorical approach to the stable center conjecture

Roman Bezrukavnikov·David Kazhdan·Yakov Varshavsky
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Abstract

The stable center conjecture asserts that the space of stable distributions in the Bernstein center of a reductive p-adic is closed under convolution. It is closely related to the notion of an L-packet and endoscopy theory. We describe a categorical approach to the depth zero part of the conjecture. As an illustration of our method, we show that the Bernstein projector to the depth zero spectrum is stable.

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Roman Bezrukavnikov, David Kazhdan, Yakov Varshavsky. 2013-07-17. A categorical approach to the stable center conjecture. https://arxiv.org/abs/1307.4669

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