Skip to main content
Browse by:

Until further notice, in-person public events have been canceled. This includes recruitment events, tours, student programs, reunions, performances, conferences and social events.
Event listings include how to access online content. Contact event sponsor with questions.
Please note that all visitors to campus must comply with Duke’s community safety measures, which include wearing a mask,
check before coming to campus, and follow direction provided by campus personnel.

Recent progress on the Gan-Gross-Prasad and Ichino-Ikeda conjectures for unitary groups

Event Image
Icon calendar
Wednesday, February 27, 2019
Icon time
3:15 pm - 4:15 pm
Icon speaker
Raphael Beuzart-Plessis (Marseille and Columbia)

In the early 2000s Gan, Gross and Prasad made remarkable conjectures relating the non-vanishing of central values of certain Rankin-Selberg L-functions to the non-vanishing of certain explicit integrals of automorphic forms, called 'automorphic periods', on classical groups. They have been subsequently refined by Ichino-Ikeda and Neal Harris into precise conjectural identities relating these two invariants thus generalizing a famous result of Waldspurger for toric periods on GL(2). In the case of unitary groups, those have been established by Wei Zhang under some local restrictions. I will review the current state of the art on this and in particular how certain results in local harmonic analysis allow to remove almost all the local restrictions made by Zhang.