4.5 Article

Arthur's multiplicity formula for certain inner forms of special orthogonal and symplectic groups

Journal

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
Volume 21, Issue 3, Pages 839-871

Publisher

EUROPEAN MATHEMATICAL SOC
DOI: 10.4171/JEMS/852

Keywords

Automorphic forms; endoscopy; trace formula; rigid inner forms

Funding

  1. ERC [306326]
  2. European Research Council (ERC) [306326] Funding Source: European Research Council (ERC)

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Let G be a special orthogonal group or an inner form of a symplectic group over a number field F such that there exists a non-empty set S of real places of F at which G has discrete series and outside of which G is quasi-split. We prove Arthur's multiplicity formula for automorphic representations of G having algebraic regular infinitesimal character at all places in S.

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