Endoscopy and cohomology of U(n,1)
Number Theory
2018-04-16 v1
Abstract
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 . In the case of lattices arising from Hermitian forms, we conjecture that the growth exponents we obtain are sharp in all degrees.
Cite
@article{arxiv.1804.05047,
title = {Endoscopy and cohomology of U(n,1)},
author = {Simon Marshall and Sug Woo Shin},
journal= {arXiv preprint arXiv:1804.05047},
year = {2018}
}