Conférences - Théorie des nombres, arithmétique

The Illustrating Mathematics program brings together mathematicians, makers, and artists who share a common interest in illustrating mathematical ideas via computational tools. The goals of the program are to: introduce mathematicians to new computational illustration tools to guide and inform their research; spark collaborations among and between mathematicians, makers and artists; and find ways to communicate research mathematics to as wide an audience as possible.

Geometry and Topology, Algebra and Number Theory, Dynamics and Probability,

Géométrie et topologie,    Algèbre

Kyoto University/Waseda University

Clemson University, School of Mathematical and Statistical Sciences

The Palmetto Number Theory Series (PANTS) is a series of number theory meetings held at colleges and universities in South Carolina, the Palmetto State as well as neighboring states. The goal of the PANTS meetings is to provide an opportunity for number theorists in South Carolina, and more generally, in the Southeast, to hear about recent research in all areas of number theory, pure and applied.

Faculté des Sciences Aïn Chock, Maroc

Cette conférence internationale s'inscrit dans la synergie entre les équipes de recherche marocaines et les industriels nationaux, et de faire le point sur les avancées conceptuelles et méthodologiques de disciplines discutées lors de cette rencontre. Elle a pour but de réunir les enseignants chercheurs et les doctorants et permettre ainsi aux jeunes chercheurs de présenter et de discuter leurs travaux devant un panel de spécialistes et de professeurs universitaires.

Email.: taousm@hotmail.com

Algèbre, Théorie des Nombres, Mathématiques Discrètes, Cryptographie, Théorie des Codes

Algèbre,    Cryptographie, blockchain et sécurité de l'information

University of Hagen

Arithmetic groups provide a fruitful link between various areas, such as geometry, topology, representation theory and number theory. Methods from geometry and topology hinge on the fact that arithmetic groups are lattices in Lie groups, whereas the theory of automorphic forms establishes a connection to representation theory and number theory. This interplay is especially intriguing in the setting of hyperbolic 3-manifolds. Indeed many conjectures in 3-manifold theory tend to be much more accessible for hyperbolic 3-manifolds whose fundamental groups are arithmetic, and conversely such manifolds provide the simplest set-up in which some of the most exciting new phenomena in the Langlands program can be studied. This conference will bring together researchers with various backgrounds around links between number theory and 3-manifolds. Central topics of the conference are the cohomology of arithmetic groups, the relation between torsion and L²-torsion, profinite invariants of 3-manifolds, and number theoretic ramifications.

Théorie des groupes,    Géométrie et topologie

Cambridge University

Institut Henri Poincaré, Paris

Les périodes apparaissent dans différentes branches des mathématiques, comme l’indique le titre de notre colloque : leur étude mêle arithmétique, analyse diophantienne, équations différentielles et géométrie algébrique. De nombreux résultats intéressants sur les périodes ont été prouvés ces dernières années et beaucoup de questions difficiles restent ouvertes. Le but de cette rencontre est de réunir les spécialistes de ces différents aspects des périodes et de leurs ramifications, en portant une attention particulière à d’éventuelles nouvelles applications des techniques jusqu’ici confinées à l’étude des périodes et de leurs réalisations.

Géométrie et topologie,    Calcul infinitésimal, équations différentielles et intégrales

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

This workshop will focus on questions related to the transition of lattice-based cryptography from theory to practice including the hardness of lattice problems arising from algebraic number theory, and algorithmic solutions to practical issues such as time and space-efficiency, side-channel resistance, and ease of hardware implementations. The workshop will bring together theoretical and applied cryptographers and computational number-theorists, and will also encourage interaction amongst different communities within and outside cryptography.

Hausdorff Center for Mathematics

The workshop “Recent trends in cryptology and cyber security” will be held in Kyiv (Ukraine) May 11-22, 2020. It aims to bring together interested graduate students and researchers/scientists/engineers interested and/or working in cryptology and related mathematics. It is divided into two blocks of lectures: Advances in Cryptology and Curves, Jacobians and Cryptography. In addition of a tutorial on Sage Software Cryptology. The summer school will provide attendees with current views on cryptology with a focus on challenges related to algebraic curves and their jacobians and on designing cryptographic primitives and attacking cryptosytems.

Cryptology, Curves, Jacobians, security

Cryptographie, blockchain et sécurité de l'information,    Sécurité des systèmes d'information et protection de données

Simons Foundation

Institut Élie Cartan de Lorraine (IECL), Université de Lorraine

FoCM 2020 is organized by the Foundations of Computational Mathematics (FoCM) Society

Dipartimento di Matematica, Pisa

The purpose of the present workshop is to expose fundamental, introductory aspects of combinatorial anabelian geometry, as well as more recent developments related to the Grothendieck-Teichmüller group and the absolute Galois groups of number fields and mixed-characteristic local fields.

Théorie des graphes et combinatoire,    Géométrie et topologie

University of Auckland, New Zealand

he ANTS meetings, held biannually since 1994, are the premier international forum for the presentation of new research in computational number theory and its applications. They are devoted to algorithmic aspects of number theory, including elementary number theory, algebraic number theory, analytic number theory, geometry of numbers, algebraic geometry, finite fields, and cryptography.

The IAS/Park City Mathematics Program (PCMI) is an outreach program of the Institute for Advanced Study (IAS). Held in Park City, Utah, PCMI is an intensive three-week residential conference that includes several parallel sets of activities aimed at different groups of participants across the entire mathematics community.

Automorphic forms are present in almost every area of modern number theory. In recent decades there has been a starburst of activity and progress in this broad area, leading to many new and exciting directions, applications, and connections with other areas. This is a rapidly expanding area, with numerous approaches, tools, and interconnections, as well as connections to other areas of mathematics. The Building Bridges research school offers training to graduate students and early career researchers in the areas of automorphic forms and related topics that continue to be the foci of exciting and influential research activity. The five-day workshop immediately following the summer school aims to foster and strengthen a long-lasting, friendly and supportive exchange between automorphic forms researchers in the EU and the US, and to integrate the summer school students into this community. The organizers have obtained funding to subsidize the costs of successful applicants to the summer school.

Hausdorff Center for Mathematics

Institute of Mathematics of the University of Debrecen

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Conference on algebraic, number theoretic and topological aspects of rings, algebras and polynomials. Topics include: integer-valued polynomials, polynomial functions, multiplicative ideal theory, topological methods in ring theory, Zariski-Riemann spaces of valuation domains, factorization theory in rings and semigroups, module theory and linear algebra over rings, Dedekind, Pruefer and Krull domains and generalizations

Algèbre,    Géométrie et topologie

The purpose of the conference is to bring together people from all branches of mathematics and science with interests in recurrence sequences, their applications and generalizations, and other special number sequences.

University of Michigan in Ann Arbor

Hausdorff Center for Mathematics

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematical Sciences Research Institute – MSRI

Banff International Research Station for Mathematical Innovation and Discovery

An equation is called Diophantine if whole number or fractional solutions are sought. Diophantine equations are named after Diophantus of Alexandria, a 3rd century mathematician and were popularized by Pierre de Fermat, a 17th century lawyer and amateur mathematician. Unlike most branches of mathematics, many Diophantine questions and theorems can be understood and appreciated by the general public, and the subject is a favourite with popularizers of mathematics. The methods for tackling Diophantine equations are however deep and varied, and the subject has recently experienced an explosion of new directions and results. This workshop will bring together experts and young scholars to explore these new directions and stimulate further research into Diophantine problems.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Regensburg University, Dep. of Mathematics, SFB1085 (U. Bunke, D.C. Cisinski, G. Kings )

Homotopical and higher categorical methods have seen increasing importance in mathematics, both as foundations and as computational tools. In fact, such methods merge two apparently distinct goals: understanding geometrical forms and classifying mathematical structures. This conference aims at gathering together under this perspective geometers in a rather broad sense. It seeks to foster the applications of these higher methods in the interplay between homotopy theory, arithmetic, and algebraic geometry.

Géométrie et topologie,    Algèbre

Banff International Research Station for Mathematical Innovation and Discovery

The investigation of arithmetic groups has been an active and important area of mathematical research ever since it arose in the work of Gauss, Klein, Poincare, and other famous mathematicians of the 18th and 19th centuries. New points of view have recently led to progress on classical problems, opened new directions of inquiry, and revealed unexpected connections with other areas of mathematics. The workshop will bring together experts in the area, researchers in related fields, and young mathematicians who wish to learn about the most recent advances and the most promising directions for the future of the field.

The GTA 2020 conference brings together world class researchers in mathematics. Its main objectives are to discuss recent advances in the fields of algebraic geometry, number theory and their applications, as well as to foster international collaborations on related topics.

Géométrie et topologie,    Algèbre

University of Zagreb, Faculty of Civil Engineering

After the successful conferences on Diophantine m-tuples and related problems on November 2014 and October 2018, we are happy to announce that the third conference on the same topic (Diophantine m-tuples and related problems III) will take place at Faculty of Civil Engineering, University of Zagreb, Croatia, from September 23 to September 25, 2020. The conference will be dedicated to Diophantine m-tuples and related problems. However, other aspects of Diophantine equations may appear as well. Anybody wishing to attend is welcome to contact the organizers.

Centre International de Rencontres Mathématiques (CIRM)

Banff International Research Station for Mathematical Innovation and Discovery

Langlands functoriality conjectures predict a vast generalization of the classical reciprocity laws of Class Field Theory, providing crossroads between Number Theory and Representation Theory. The conjectures are both local and global and pertain a connected reductive group and its Langlands dual group.