Subconvexity for Lfunctions on U(n) x U(n+1)
Subconvexity for Lfunctions on U(n) x U(n+1)

Simon Marshall, University of WisconsinMadison
IAS  Simonyi Hall Seminar Room SH101
InPerson and Online Talk
We prove this bound by first using the unitary IchinoIkeda formula of N. Harris to relate the central Lvalue to an automorphic period integral. There is a `trivial' bound for this integral, which turns out to correspond to the convexity bound for the Lvalue 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.