### Factorization of the p-adic Rankin-Selberg L-function in the supersingular case

Linfoot Number Theory Seminar

20th March 2019, 11:00 am – 12:00 pm

Howard House, 4th Floor Seminar Room

In this talk I will discuss how it is possible to express the

p-adic Rankin-Selberg L-function as a product of other p-adic

L-functions. To do this I will rely on the existence and properties of

Euler systems, in particular of the Beilinson-Flach one. I will focus on

the case of a supersingular modular form, which extends results already

known in the ordinary case.

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