Thematic semester 2019 - Geometry, Arithmetic and Cryptography: Correspondences

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Correspondences between geometry and arithmetic form a cornerstone in modern mathematics and lead to a variety of applications. On the one hand, these correspondences appear in precise mathematical shapes and forms, such as the traditional dictionnary between algebraic curves and the arithmetic of their functions fields or between the geometry of differential equations and the representation theory of the fundamental group. On the other hand, they appear as a leitmotif in long-term developments, for example, as the link between automorphic forms and Galois theory in the Langlands programme, or as bridges between the world of error-correcting codes and cryptography.

The special semester 'Geometry, Arithmetic and Cryptography: Correspondences', organized by the Centre Henri Lebesgue, has the aim to present recent developments on the interplay between geometry and arithmetic and to stimulate new progress in the corresponding research fields. It brings together leading international experts in the different domains, it offers a thematic framework for younger researchers to meet and interact and provides a training ground for Master and PhD students through several lecture weeks. The semester proposes a variety of different events such as conferences, workshops and summer schools which makes it accessible to a wide range of participants.

Program

Schools

Curves and groups in families

Rennes, from may 13th to may 17th 2019

Organization board: Christophe Ritzenthaler, Matthieu Romagny, Dajano Tossici

Perfectoids

Rennes, from july 8th to july 12th 2019

Organization board: Lionel Fourquaux, Bernard Le Stum, Junyi Xie

Scientific board: Olivier Brinon, Matthew Morrow, Alberto Vezzani

Conferences

Representation Theory and D-modules

Rennes, from june 3rd to june 7th 2019

Organization board: Michel Gros (Université de Rennes 1), Tobias Schmidt (Université de Rennes 1)

Scientific board: Thierry Levasseur (Université de Brest), Matthias Strauch (Indiana University)

p-adic Langlands correspondence: a constructive and algorithmic approach

Rennes, from september 2nd to september 6th 2019

Organization board: Xavier Caruso, Agnès David, Lionel Fourquaux, David Lubicz

Scientific board: Jean-Marc Couveignes, Kiran Kedlaya, Ariane Mézard, Sandra Rozensztajn

Workshops

WCC 2019: The Eleventh International Workshop on Coding and Cryptography

Saint-Jacut-de-la-Mer, from march 31st to april 5th 2019

Organization board: Delphine Boucher, Pierre Loidreau, Gwezheneg Robert, Adeline Roux-Langlois

Scientific board: Anne Canteaut (co-chair, Inria, France), Felix Ulmer (co-chair, Université de Rennes 1, France)

Women in Numbers Europe 3 (3rd edition of the European WIN Workshop)

Rennes, from august 26th to august 30th 2019

Organization board: Holly Krieger, Sorina Ionica, Elisa Lorenzo García

Partners

Irmar LMJL ENS Rennes LMBA LAREMA

Affiliation

ANR CNRS Rennes 1 Rennes 2 Nantes INSA Rennes INRIA ENSRennes UBO UBS Angers UBL