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CIRM – Centre International de Rencontres Mathématiques

Our goal is to organise a conference devoted to interactions between pure mathematics (in particular arithmetic and algebraic geometry) and information theory (especially cryptography and coding theory). This conference will be the eighteenth edition, with the first one held in 1987, in a series that has traditionally brought together some of the top specialists in the domains of arithmetic, geometry, and information theory. The corresponding international community is very active and all of the concerned research domains are developing and expanding rapidly.

Algebraic and arithmetic geometry over finite fields and global fields. Number theory, especially explicit and algorithmic. Algebro-geometric codes constructed from curves and higher-dimensional algebraic varieties over finite fields and global fields. -Arithmetic and geometric aspects of cryptography (symmetric, public key, and post-quantum) and cryptanalysis.

Cryptography, Blockchain and Information Security,    Information Theory, Foundations of Computer Science

CIRM – Centre International de Rencontres Mathématiques

The aim is to study properties of number fields, Galois representations, and automorphic forms for which local and residual properties force a precise global behaviour. On the one hand, this relates to the theory of average class group behaviour, higher Rédei symbols and Rédei reciprocity, and various Pell equations. On the other hand, it relates to dimensions and dimension jumps for spaces of modular forms for which we simultaneously fix the Atkin-Lehner sign and the residual representation at a prime.

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

The past decades has seen some spectacular achievements on the ineraction beetween representation theory of groups or algebras of Lie type and models coming from probability or theoritical physics, cementing its reputation as a highly active area involving mathematicians from across the world. This workshop not only aims to present some of these new results, but also to explore new domains in connection with the PRC Cortipom project granted by the Agence National de la Recherche. It will feature talks given by confirmed researchers and also more informal presentations and works in small groups.

Institut des Hautes Etudes Scientifiques (IHES)

This school is open to everybody but intended primarily for young participants, including Ph.D. students and postdoctoral fellows.

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

Geometry and Topology,    Number Theory, Arithmetic