A categorical approach to the stable center conjecture
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1307.4669v4.pdf
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Author(s)
Kazhdan, David
Bezrukavnikov, Roman
Varshavsky, Yaakov
Date Issued
2015
Journal
Astérisque
Publisher
Société mathématique de France
Citation
Bezrukavnikov, Roman, David Kazhdan, and Yakov Varshavsky. "A Categorial Approach to the Stable Center Conjecture." Astérisque, 369, 2015, pp. 27-97.
Version
Original manuscript
Abstract
Let G be a connected reductive group over a local non-archimedean field F. The stable center conjecture provides an intrinsic decomposition of the set of equivalence classes of smooth irreducible representations of G(F), which is only slightly coarser than the conjectural decomposition into L-packets. In this work we propose a way to verify this conjecture for depth zero representations. As an illustration of our method, we show that the Bernstein projector to the depth zero spectrum is stable.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
http://smf4.emath.fr/en/Publications/Asterisque/2015/369/html/
