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

Conferència en el marc del cicle Col·loqui FME-UPC.
Quan
03/04/2019 de 12:00 a 13:00 (Europe/Madrid / UTC200)
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Sala d'actes de la FME
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"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. 

Among several distinctions, he was invited speaker at ICM 2006 for his work on Vanishing of L-functions and ranks of Selmer groups.
 

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.

"The project leading to this talk has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 682152): Euler systems and the conjectures of Birch and Swinnerton-Dyer and Block-Kato"

El Col·loqui FME - UPC és una iniciativa conjunta de la Facultat de Matemàtiques i Estadística (FME), el Departament de Matemàtiques (MAT), el Departament d'Estadística i Investigació Operativa (EIO), el Departament d'Enginyeria Civil i Ambiental (DECA) i el Departament de Ciències de la Computació (CS).