L-functions and their special values
Date:
Thursday, March 23, 2017 09:45 - 10:45
Speaker:
David Loeffler (University of Warwick)
Location:
Mondi Seminar Room 2, Central Building
Series:
Mathematics and CS Seminar
Contact:
DEL REAL LAVERGNE Pedro
One of the most important objects in mathematics is the Riemann zeta function, which has fascinated and puzzled mathematicians for over three centuries. This object and its generalisations, which are known as L-functions, play a central role in number theory, as they are closely bound up with fundamental phenomena such as the distribution of prime numbers and the existence of rational solutions to algebraic equations. In this talk, I'll give an overview of what's known about the values of these functions, and some of the arithmetic information that these values reveal.