Tuesday, May 5

Speaker: Mahesh Kakde, Princeton

Title: Congruences in non-commutative Iwasawa theory

Abstract: I will first state a formulation of the non-commutative main conjecture in Iwasawa theory according to Burns-Flach and Coates-Fukaya-Kato-Sujatha-Venjakob. We will propose a strategy of Burns and Kato for proving the main conjecture. This strategy predicts certain congruences between p-adic L-functions. We will see the cases in which the congruences are known to be true.