4.4 Article

Endoscopy and cohomology growth on U(3)

Journal

COMPOSITIO MATHEMATICA
Volume 150, Issue 6, Pages 903-910

Publisher

CAMBRIDGE UNIV PRESS
DOI: 10.1112/S0010437X13007720

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Funding

  1. NSF [DMS-1201321]

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We apply the endoscopic classification of automorphic forms on U(3) to study the growth of the first Betti number of congruence covers of a Picard modular surface. As a consequence, we establish a case of a conjecture of Sarnak and Xue on cohomology growth.

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