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

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

2004-06-10

arxiv.org/abs/math/0406223v1

Mathematics

Representation Theory

This is my PhD thesis (written in 1998, unchanged since 1999)

Scientific paper

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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