p-adic Langlands correspondence and Iwasawa theory

nt.number-theory rt.representation-theory
Start Date
2019-04-24 
End Date
2019-04-26 
Institution
Universit√ɬ© de Lille 
City
Lille 
Country
France 
Meeting Type
conference 
Homepage
https://indico.math.cnrs.fr/e/padiclille2019 
Contact Name
Julien Hauseux 

Description

The Langlands programme is a central theme in Number Theory, predicting the a deep connection between representations of the absolute Galois group of a local or a global field, and automorphic forms. The p-adic variant of this programme for the group GL(2) over the field of p-adic numbers has had some spectacular applications, such as the proof of the Fontaine-Mazur conjecture for GL(2) over the rationals.

At the heart of the Langlands programme lies the notion of L-function, whose order of vanishing at critical points is predicted by the famous Bloch-Kato conjecture in terms of the arithmetic of the Galois representation of the conjecturally attached motive. Iwasawa theory, in turn, seeks to relate the arithmetic of the restriction of this representation to the p-adic cyclotomic extension with the behaviour of a p-adic analytic L-function.

The purpose of this workshop is to gather experts of these topics as well as students and young researchers in order to present some recent advances and create scientific interactions and hopefully lead to future collaborations.

Problems?

If you notice a problem with this entry, please contact the curators by email.