Abstract: In this talk we will describe connections between second order partial differential equations and the associated Markov processes. This connection has been an active area of research for several decades.
Abstract: Understanding the Galois group of the field of rational numbers and of its finite extensions is one of the central problems in Number Theory. Over the last five centuries, this has led to the development of several areas within Pure Mathematics. In this talk, we shall discuss how Iwasawa theory has contributed to studying this problem.