p-adic L-functions for GL(2n) in Shalika families with maximal variation

Tue Mar 15, 2022 4:30 p.m.—5:30 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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Seminar: 
Algebra and Number Theory Seminar

Event time: 
Tuesday, March 15, 2022 - 4:30pm

Speaker: 
Andrew Graham

Speaker affiliation: 
Université Paris-Saclay

Event description: 
I will describe the construction of a (n+2)-variable p-adic L-function for p-adic families of automorphic representations of GL(2n) which admit a Shalika model, which is the maximal amount of p-adic variation that one expects in this setting. For n=2, this is one of the ingredients used in the work of Loeffler–Zerbes on the Bloch–Kato conjecture for automorphic representations of GSp(4). This is joint work with D. Barrera, M. Dimitrov, A. Jorza and C. Williams.

Research area(s): 
Algebraic Geometry 
Number Theory
Representation Theory