Conjectures about p-adic groups and their noncommutative geometry

@article{Aubert2015ConjecturesAP,
  title={Conjectures about p-adic groups and their noncommutative geometry},
  author={Anne-Marie Aubert and Paul Frank Baum and Roger Plymen and Maarten Solleveld},
  journal={arXiv: Representation Theory},
  year={2015}
}
Let G be any reductive p-adic group. We discuss several conjectures, some of them new, that involve the representation theory and the geometry of G. At the heart of these conjectures are statements about the geometric structure of Bernstein components for G, both at the level of the space of irreducible representations and at the level of the associated Hecke algebras. We relate this to two well-known conjectures: the local Langlands correspondence and the Baum--Connes conjecture for G. In… Expand
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