Columbia Mathematics Department Colloquium

`Periods of automorphic forms and special values of L-functions'


Atsushi Ichino

(Osaka City University)

Abstract:  A period of an automorphic form on a reductive group G over a number field is defined by its integral over a subgroup H of G.
Such periods are often related to special values of automorphic L-functions. In this talk, we present a conjecture in the case of special
orthogonal groups, which can be regarded as a refinement of the global Gross-Prasad conjecture about the restriction of automorphic
representations of SO(n+1) to SO(n). If time permits, we also discuss a relation of our conjecture to Arthur's conjecture on the
multiplicity of representations in the space of automorphic forms. This is a joint work with Tamotsu Ikeda.

March 21th, Wednesday, 5:00-6:00 pm
Mathematics 520
Tea will be served at 4:30pm