In this talk, Ignazio Longhi will try to give a quick, light introduction to p-adic numbers and show how to combine them in the ring of adeles and define from it the group of ideles. Then I will explain how the Riemann zeta function and some close relatives of it appear from harmonic analysis on this group of ideles and how this point of view gives a nice reason for the existence of a p-adic zeta function. If time allows, I will also say a few words about Iwasawa theory.
- Topic: An introduction to adeles and p-adic L functions
- Date: 25th Oct 2018
- Time: 1:10 pm-2 pm
- Venue: MA405
- Speaker: Ignazio Longhi (Department of Mathematics, XJTLU)