A categorical approach to the stable center conjecture
Representation Theory
2018-10-11 v5 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1307.4669,
title = {A categorical approach to the stable center conjecture},
author = {Roman Bezrukavnikov and David Kazhdan and Yakov Varshavsky},
journal= {arXiv preprint arXiv:1307.4669},
year = {2018}
}
Comments
74 pages, a grant acknowledgement is changed