Seminar series
Date
Thu, 23 Nov 2023
16:00
Location
L5
Speaker
Xenia Dimitrakopoulou
Organisation
University of Warwick

I will report on current work in progress on the construction of anticyclotomic p-adic L-functions for Rankin--Selberg products. I will explain how by p-adically interpolating the branching law for the spherical pair (U(n)xU(n+1), U(n)) we can construct a p-adic L-function attached to cohomological automorphic representations of U(n) x U(n+1), including anticyclotomic variation. Due to the recent proof of the unitary Gan--Gross--Prasad conjecture, this p-adic L-function interpolates the square root of the central L-value. Time allowing, I will explain how we can extend this result to the Coleman family of an automorphic representation.

Last updated on 17 Nov 2023, 9:47pm. Please contact us with feedback and comments about this page.