AbstractWe consider the standard L-function attached to a cuspidal automorphic representation of a general linear group. We present a proof of a subconvex bound in the t-aspect. More generally, we address the spectral aspect in the case of uniform parameter growth. These results are the subject of the third paper linked below, building on the first two.SpeakerPaul Nelson works in Analytic Numbe...
AbstractAsai L-functions for GLn are related to the arithmetic of Asai motives. The twisted Gan—Gross—Prasad conjecture opens a way of studying (a twist of) central Asai L-values via descents and period integrals. I will consider an arithmetic analog of the conjecture on central derivatives using unitary Shimura varieties. I will formulate and prove a twisted arithmetic fundamental lemma.Spea...