Perfectoid Rings and p-adic L-functions

This talk is part of a special Number Theory Seminar which will feature talks by Haruzo Hida and Nike Vatsal.

I will discuss work in progress on the extension of an Iwasawa-style p-adic L-function to a certain kind of function on a perfectoid space. This kind of extension is implicit in work of Colmez, but the applications seem not to have been studied yet.