"Bernouilli numbers, Eisenstein series and cyclotomic units", a càrrec del professor Eric Urban (Columbia University, New York, USA)

"Bernouilli numbers, Eisenstein series and cyclotomic units", a càrrec del professor Eric Urban (Columbia University, New York, USA)

Eric Urban is Professor in the Department of Mathematics of Columbia University (New York, USA). He is specialist in Arithmetic Geometry and Algebraic Number Theory, and more specially on Iwasawa Theory. He had hold several positions in Europe and in US, including Paris Sud, IAS Princeton and Columbia University. 

Dimecres 3 d'abril 2019 a les 12 h a la sala d'actes de l'FME. Activitat oberta a tota la comunitat matemàtica.  The talk will be accessible to a general audience.

"Bernouilli numbers, Eisenstein series and cyclotomic units"

Abstract:

I will recall what are the objects of the title and explain how one can combine them in a new way to
explain a deep Theorem of Mazur and Wiles (proving a conjecture of Iwasawa)  that gives a formula
for the cardinality of the p-part of the class groups of cyclotomic fields in terms of Bernouilli numbers.