Seminario Teoría de Números
Factorization of algebraic p-adic L-functions of Rankin-Selberg products
Ponente: Fırtına Küçük (Mary Immaculate College, Limerick)Fecha: jueves 28 de noviembre de 2024 - 11:00Lugar: Aula 420, Módulo 17, Departamento de Matemáticas, UAM
Resumen:
In this talk, I will briefly review Artin formalism and its p-adic variant. Artin formalism provides a factorization of L-functions whenever the associated Galois representation decomposes. I will explain why the p-adic Artin formalism 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. I will present the results in this direction including the one I obtained in my PhD thesis, and discuss the future directions.
