Joint IAS/PU Number Theory Seminar

Subconvexity for L-functions on U(n) x U(n+1)

We prove this bound by first using the unitary Ichino-Ikeda formula of N. Harris to relate the central L-value to an automorphic period integral.  There is a `trivial' bound for this integral, which turns out to correspond to the convexity bound for the L-value if the test vector is chosen correctly.  We are able to improve the bound for the period integral using a technique called arithmetic amplification, which uses the action of the Hecke operators, and this yields a subconvex bound.

Date & Time

April 06, 2023 | 4:30pm – 5:30pm

Location

Simonyi Hall 101 and Remote Access

Speakers

Simon Marshall

Affiliation

University of Wisconsin-Madison

Event Series