Endoscopy and Cohomology of U(n-1,1)

by Prof. Sug Woo Shin (Berkeley University)

Wednesday May 9, 2018, 10:30 AM → 11:30 AM Europe/Paris

Centre de conférences Marilyn et James Simons (IHES)

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.