Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo
Endoscopy and Cohomology of U(n-1,1)
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Centre de conférences Marilyn et James Simons (IHES)
Centre de conférences Marilyn et James Simons
IHES
Le Bois Marie
35, route de Chartres
91440 Bures-sur-Yvette
Description
We apply the endoscopic classification of automorphic representations for inner forms of unitary groups to bound the growth of cohomology in congruence towers of locally symmetric spaces associated with U(n-1,1). Our bound is sharper than the bound predicted by Sarnak-Xue for general locally symmetric spaces. This is joint work with Simon Marshall.
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