“Integral norm relations for Rankin-Eisenstein classes via unramified harmonic analysis”
Giovedì 14 Novembre 2024, ore 14:30 - Aula 2AB40 - Alexandros Groutides (Warwick)
Abstract
In recent years, local representation theory of $p$-adic groups and zeta integrals, have been linked to Euler system norm relations. In this talk, we will touch upon this idea, initially introduced by Loeffler-Skinner-Zerbes, and discuss recent developments in the integral version of the theory. Using unramified harmonic analysis within this representation theoretic framework, we establish the conjectured integral behavior of local factors appearing in tame norm relations, between any collection of integral motivic Rankin-Eisenstein classes in the recipe of op.cit. If time permits, we will discuss how, by specializing to one such collection, we can obtain the most general version of the Rankin-Selberg Euler system tame norm relations.
