English

The Burger-Sarnak Method and Operations on the Unitary Duals of Classical Groups

Representation Theory 2020-04-09 v2

Abstract

The Burger-Sarnak method shows that the restriction of an automorphic representation of a reductive group to a reductive subgroup has automorphic support. Clozel has conjectured a qualitative refinement of this result, which were first verified and quantified in the GLnGL_n case by Venkatesh. We give a proof of this conjecture in the classical group cases.

Keywords

Cite

@article{arxiv.2002.11935,
  title  = {The Burger-Sarnak Method and Operations on the Unitary Duals of Classical Groups},
  author = {Andrew Hendrickson},
  journal= {arXiv preprint arXiv:2002.11935},
  year   = {2020}
}

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65 pages