Conferences  >  Mathematics  >  Number Theory, Arithmetic

École Polytechnique Fédérale de Lausanne (EPFL)

The aim of this programme is to break new ground in the arithmetic theory of K3 surfaces and closely related varieties (e.g., Enriques and elliptic surfaces; hyper-Kähler varieties), capitalising on a web of recent advances and conjectural frameworks. Progress on the arithmetic of K3 surfaces will likely have important consequences for more general questions about Shimura varieties, abelian and hyper-Kähler varieties, their rational and algebraic points.

Geometry and Topology,    Courses and Events for Math Students and Early Career Researchers

Simons Laufer Mathematical Sciences Institute (SLMath)

In recent years techniques from harmonic analysis viz. projection theorems have found striking applications in finitary analysis on homogenous spaces. Such quantitative results have many potential applications to analytic number theory. This workshop will bring together researchers in these areas to further explore these connections.

The goal of this workshop is to present a panorama of hot topics, and their recent progress, in arithmetic geometry (incl. p-adic Hodge theory, Shimura varieties and their cohomology, L-functions, Berkovich spaces, homotopy and anabelian geometry, Galois theory, condensed mathematics, vanishing cycles, motivic theory, birational geometry,...). Talks will include introductory presentations for graduate students and for PhD researchers.

A conference on automorphic forms and related topics. The topics include mock modular forms, Maass wave forms, elliptic curves, Siegel and Jacobi modular forms, special values of L-functions, random matrices, quadratic forms, applications of modular forms, and many others. In addition to research talks, the workshop has, in the past years, featured panel discussion sessions. We expect to have many contributed talks and a mix of students and faculty.

Email: organizers@automorphicformsworkshop.org

MPI f. Mathematik, Bonn

Many interesting arithmetic functions such as class numbers, Fourier coefficients of modular forms, have a rather varying behavior that is only partially understood. However, often it is possible to determine some (possibly weighted) average for them. The approach is often to associate an L-series to the arithmetic quantity of interest and study whether this has an analytic continuation, study the location of its zeros and poles. Armed with this knowledge the Selberg-Delange method, for example, allows one then to determine the average. The most classical L-functions are the Riemann zeta function and Dirichlet L-series, that play a crucial rule in the study of primes, respectively primes in arithmetic progression. The conference has both more introductory as well as research talks on current topics in this direction. More highlighted themes are Artin's primitive root conjecture (where Dedekind zeta functions come into play) and Euler-Kronecker constants (related to logarithmic derivatives of L-series).

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

In Honor of the 80th Birthdays of Melvyn Nathanson and Carl Pomerance

This meeting will take place on the occasion of the 60th birthday of Francesco Pappalardi. This event honours his outstanding contributions to number theory, and will also be a recognition of his exceptional activity in promoting mathematics in countries which need it the most. In particular, Francesco is a driving force for mathematical cooperation between Kurdistan Iraq and other countries, including Italy. This conference will be an opportunity to feature outstanding international mathematicians in Erbil and showcase the scientific potential of Kurdistan Iraq.

The conference "Number Theory, Quantum Chaos and their Interfaces” aims at gathering distinguished researchers working in either of the disciplines to discuss recent research advances in these fields, and serve as a playground for the exchange of ideas between these, rather diverse, research communities. Another purpose of our conference is to provide a solid educational platform for more junior researchers who aspire to conduct research in the relevant fields and expose them to some of the outstanding results and open problems.

High Energy Physics, Particles and Fields,    Quantum Mechanics and Quantum Technology

CIRM – Centre International de Rencontres Mathématiques

The major aim of the conference is to gather people working on “randomness” properties of prime numbers, including both international and French mathematicians, and to provide an environment for scientific exchanges to foster new collaborations, especially with the younger participants. The conference has an overlap with the French–Austrian joint project ArithRand supported by the ANR and the FWF.

University of Notre Dame

University of Notre Dame

Geometry and Topology,    Group Theory

This workshop will follow a model similar to the AMS's Mathematical Research Communities or to Women in Numbers: Team leaders have planned projects for participants to work on during the workshop. The goal is for participants to learn new math, get to know colleagues, and have a joyful, affirming research experience.

Dreaming up a better number theory community

The aim of the conference is to bring together researchers working in various mathematical areas where modular forms play a key role. The conference takes place at the Bielefed University .

Centre International de Rencontres Mathématiques (CIRM)

In recent years, there has been an explosion of activity surrounding algebraic points on curves, from many different perspectives. These include the study of measures of irrationality, isolated and parametrized points, computational methods to determine algebraic points, and the arithmetic statistics of algebraic points. In this workshop, we aim to bring together researchers from these diverse perspectives, with the particular goal of developing bridges between them. The workshop will include overview talks on the various perspectives, research talks, an open problem session, and structured time for collaboration.

Geometry and Topology,    Algebra

Institute for Computational and Experimental Research in Mathematics (ICERM)

Institute of Mathematics, National Academy of Sciences of Armenia

The goal of the summer school is to introduce students and junior scientists to the basics of the theory of elliptic curves and their applications in modern number theory and cryptography. The origins of the theory of elliptic curves go back to the 19th century, but it has become a central area of number theory only in the 20th century with the work of Mordell, Hasse, Weil and many others. A particularly prominent developments were the formulation of the conjecture of Birch and Swinnerton-Dyer, and the discovery of connections between elliptic curves and modular forms. The celebrated proof of Fermat’s Last Theorem by Wiles is the first general result on the modularity of elliptic curves – a topic which is still very much at the forefront of research in number theory. Elliptic curves also have come to play an important role in modern cryptography, and they continue to be extensively studied for possible future cryptosystems resistant to quantum computing.

Cryptography, Blockchain and Information Security,    Courses and Events for Math Students and Early Career Researchers

We will gather to celebrate and showcase the spectacular advances in algebraic number theory and arithmetic geometry inspired by the vast research program of Henri Darmon.

The René 25 conference will bring together renowned international researchers in mathematics to celebrate the research interests of René Schoof, which include the fields of algebraic number theory, arithmetic algebraic geometry, computational number theory and coding theory.

This conference aims to honor the spectacular contributions of Emmanuel Ullmo to arithmetic geometry and centers around his mathematical contributions and interests. It will cover and highlight recent stage of development on topics such as Diophantine geometry, ergodic theory, Hodge theory, and arithmetic dynamics.

The Geometric and Analytic Number Theory conference will bring together world leading researchers to present talks on the latest advancements in the fields of geometric and analytic number theory with a view towards rational points on varieties and counting number fields. Attendees will have the opportunity to engage with pioneering work and connect with peers from around the world, fostering collaboration and knowledge exchange within the number theory community.

The summer school is about formulas of Siegel and Weil and its impact in the theory of sphere packings, number theory, and geometry. The summer school takes place at Bielefed University.

Courses and Events for Math Students and Early Career Researchers,    Geometry and Topology

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

CRM

Probability and Statistics, Game Theory,    Courses and Events for Math Students and Early Career Researchers

The Algorithmic Number Theory Symposium (ANTS) is the premier international forum for the presentation of new research in computational number theory and its applications, devoted to algorithmic aspects of number theory and related fields, including elementary number theory, algebraic number theory, analytic number theory, the geometry of numbers, arithmetic geometry, finite fields, cryptography, and coding theory.

On the occasion of 40+ years after the seminar paper of Gross--Zagier, we bring together experts to deliver lectures on a broad range of topics connected with the Gross-Zagier formula, its generalizations, related future directions, and other works that it has inspired.

The program will unite researchers from a number of areas: algebraic and complex geometry, arithmetic geometry, Hodge theory, and mathematical physics. It will bring theoretically and computationally oriented researchers together, expecting that computations will illuminate conjectures made by the theorists and that theory will enlarge the range of what can be computed. We intend to develop databases of certain types of K3 surfaces for the L-Functions and Modular Forms Database and promote the development of software for computations on K3 surfaces in Magma, SageMath, or other systems for public release.

Geometry and Topology,    Courses and Events for Math Students and Early Career Researchers