Conférences - Théorie des nombres, arithmétique

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)

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

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

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 school aims to introduce graduate students and young researchers to the recent connections between p-adic analysis (understood in a large sense) with mathematical physics and computer science. Several mini-courses and talks will be offered.

ntroduction to p-adic analysis; Introduction to local zeta functions; The p-adic theory of automata; p-Adic models in quantum physics; p-Adic electrostatics; Strings amplitudes, local zeta functions, and log-Coulomb gases.

Analyse,    Cours et évènements pour étudiants en mathématiques

Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

Modular forms have been one of the central topics in number theory for more a century and they continue to experience a wide range of applications throughout mathematics nowadays. Different incarnations of modularity, known as quasi-modular forms, quantum modular forms, Jacobi forms and Siegel modular forms regularly show up in physics topics such as mirror symmetry, topological quantum field theory, Gromov-Witten invariants, conformal field theory, Calabi-Yau manifolds. The principal goal of the proposed conference is to assess the role of various modular forms in recent developments in number theory, geometry and string theory.

Physique mathématique,    Algèbre

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.

Augusta University, Augusta, Georgia

The Integers conferences are international conferences held for the purpose of bringing together mathematicians, students, and others interested in combinatorics and number theory.

The Integers conferences are international conferences held for the purpose of bringing together mathematicians, students, and others interested in combinatorics and number theory.

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.

Ramanujan Mathematical Society (RMS)

The Ramanujan Mathematical Society (RMS), will be organising ICNTDM-2020 to mark the 100th year of premature passing away of the legendary Indian mathematician Srinivasa Ramanujan (22nd December 1887-26th April 1920). All aspects of Mathematics influenced by Ramanujan and in particular Number Theory – a subject which had its historic root in India, and Discrete Mathematics will be discussed in this conference.

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

The conference ELAZ 2021 will be organised jointly by the Banach Center Institute of Mathematics of the Polish Academy of Sciences, the Polish Mathematical Society, and the Faculty of Mathematics and Computer Science of Adam Mickiewicz University.

ELAZ stands for “Elementare und Analytische Zahlentheorie”, i.e. “Elementary and Analytic Number Theory”. It is a conference series held biannually since the year 2000. It is open to both young and experienced mathematicians, and is well known for its high scientific level. (postponed version of ELAZ 2020)

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

The focus of this meeting is the connections between lattices and number theory and geometry. Number theory, one of the oldest branches of pure mathematics, is devoted to the study properties of the integers and more sophisticated number systems. Lattices and number theory have many deep connections. For instance using number theory it was recently demonstrated that certain packings of balls in high dimensions are optimally efficient. Lattices also appear naturally when one studies certain spaces that play an important role in number theory; one of the main focuses of this meeting is to investigate computational and theoretical methods to understand such spaces and to expand the frontier of our algorithmic knowledge in working with them.

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

The cohomology of arithmetic groups is the study of the properties of ``holes'' in geometric spaces that contain information about number theory. The workshop will bring together mathematicians with expertise in number theory, topology, and geometric group theory to tackle these problems and explore recent developments.

Théorie des groupes,    Géométrie et topologie