Factorization of algebraic p-adic Rankin-Selberg L-functions

Abstract: I will give a brief review of Artin formalism and its p-adic variant. Artin formalism gives a factorization of L-functions whenever the associated Galois representation decomposes. I will explain why establishing the p-adic Artin formalism (or its algebraic counterpart via the Iwasawa Main Conjectures) is a non-trivial problem when there are no critical L-values. In particular, I will focus on the case where the Galois representation arises from a self-Rankin-Selberg product of a newform, and present the results in this direction including the one I obtained in my PhD thesis.

algebraic geometrynumber theory

Audience: researchers in the topic

FGC-HRI-IPM Number Theory Webinars

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