University of Cambridge > Talks.cam > Number Theory Seminar > Anticyclotomic $p$-adic $L$-functions for families of $U_n \times U_{n+1}$

Log in

University Account

External (via Google)

Information on

Subscribing to talks details

Finding a talk details

Adding a talk details

Disseminating talks details

Help and Documentation details

Anticyclotomic $p$-adic $L$-functions for families of $U_n \times U_{n+1}$

Download to your calendar using vCal

Xenia Dimitrakopoulou (Warwick)
Tuesday 30 April 2024, 14:30-15:30
MR13.

If you have a question about this talk, please contact Jef Laga .

I will report on recent work 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 $\left(U_n, U_n \times U_{n+1}\right),$ we can construct a $p$-adic $L$-function attached to cohomological automorphic representations of $U_n \times U_{n+1}$. Due to the recent proof of the unitary Gan—Gross—Prasad conjecture, this $p$-adic $L$-function interpolates the square root of all critical $L$-values, including anticyclotomic variation. Time allowing, I will explain how we can extend this result to the Coleman family of an automorphic representation.

This talk is part of the Number Theory Seminar series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Anticyclotomic $p$-adic $L$-functions for families of $U_n \times U_{n+1}$

📅 Download to calendar (vCal)

👤 Speaker: Xenia Dimitrakopoulou (Warwick)
📅 Date & Time: Tuesday 30 April 2024, 14:30 - 15:30
📍 Venue: MR13

Questions? Contact Jef Laga

Abstract

Series This talk is part of the Number Theory Seminar series.

Included in Lists

Note: Ex-directory lists are not shown.

Log in

🔐 Log In

Information on

ℹ️ Information

Anticyclotomic $p$-adic $L$-functions for families of $U_n \times U_{n+1}$

This talk is included in these lists:

Anticyclotomic $p$-adic $L$-functions for families of $U_n \times U_{n+1}$

Abstract

Included in Lists

Log in

🔐 Log In

Information on

ℹ️ Information

Anticyclotomic $p$-adic $L$-functions for families of $U_n \times U_{n+1}$

This talk is included in these lists:

Other lists

Other talks

Anticyclotomic $p$-adic $L$-functions for families of $U_n \times U_{n+1}$

Abstract

Included in Lists