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Homological properties of representations of p-adic groups related to geometry of the group at infinity

Roman Bezrukavnikov
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Abstract

Geometry of buildings is used to prove some homological properties of the category of smooth representations of a reductive p-adic group (Kazhdan's "pairing conjecture", Bernstein's description of homological duality in terms of Deligne-Lusztig duality). A different proof had been obtained a little earlier by Schneider and Stuhler.

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BibTeXRIS

Roman Bezrukavnikov. 2004-06-10. Homological properties of representations of p-adic groups related to geometry of the group at infinity. https://arxiv.org/abs/math/0406223

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