arXiv Analytics

Sign in

arXiv:1804.05047 [math.NT]AbstractReferencesReviewsResources

Endoscopy and cohomology of U(n,1)

Simon Marshall, Sug Woo Shin

Published 2018-04-13Version 1

By assuming the endoscopic classification of automorphic representations on inner forms of unitary groups, which is currently work in progress by Kaletha, Minguez, Shin, and White, we bound the growth of cohomology in congruence towers of locally symmetric spaces associated to $U(n,1)$. In the case of lattices arising from Hermitian forms, we conjecture that the growth exponents we obtain are sharp in all degrees.

Related articles: Most relevant | Search more
arXiv:1409.3731 [math.NT] (Published 2014-09-12)
Endoscopic Classification of Representations: Inner Forms of Unitary Groups
arXiv:1208.1252 [math.NT] (Published 2012-08-06, updated 2014-09-23)
p-adic functoriality for inner forms of unitary groups in three variables
arXiv:math/0410502 [math.NT] (Published 2004-10-23)
A_6-extensions of Q and the mod p cohomology of GL(3,Z)