Automorphic representations and Lefschetz numbers

DOI10.24033/asens.1589zbMath0689.22005OpenAlexW2602620111MaRDI QIDQ3031193

Birgit Speh, Jürgen Rohlfs

Publication date: 1989

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1989_4_22_3_473_0

zbMATH Keywords

sheaf cohomologyLefschetz numbersdiscrete arithmetically defined torsion-free subgroup of finite covolumeirreducible unitary principal series representationmultiplicities of automorphic representationssemisimple non compact Lie group

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Homology and cohomology of Lie groups (57T10) Discrete subgroups of Lie groups (22E40) Classical groups (algebro-geometric aspects) (14L35) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

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Intersection Numbers of Special Cycles ⋮ Profinite invariants of arithmetic groups ⋮ Twisted Dirac Index and Applications to Characters ⋮ Twisted Lefschetz number formula and 𝑝-adic trace formula ⋮ Unnamed Item ⋮ On lower bounds for cohomology growth in \(p\)-adic analytic towers ⋮ A note on multiplicities of singular representations in the discrete spectrum of Sl(2,\({\mathbb{R}})/\Gamma\) ⋮ Unnamed Item ⋮ Geometric cycles in compact locally Hermitian symmetric spaces and automorphic representations ⋮ Lefschetz numbers and twisted stabilized orbital integrals

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