Conferences and Meetings on Number Theory, Arithmetic

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.

This workshop, sponsored by AIM and the NSF, aims to explore several problems at the interface of harmonic analysis and analytic number theory, with an eye to bringing both groups of researchers together to make progress in discrete restriction, arithmetic statistics, exponential sum estimates and discrete harmonic analysis by using tools from both fields.

Analysis,    Probability and Statistics, Game Theory

The conference “Analytic 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 (PhD students, postdoctoral researchers and early career permanent faculty) who aspire to conduct research in the relevant fields and expose them to some of the outstanding results and open problems as well as to meet other researchers with similar academic interests, with high potential to start new research collaborations. Being a home to Professor Zeev Rudnick, who has contributed greatly to unifying the main subjects of the conference and established some relevant fundamental results in these fields, Tel Aviv University is a natural place for such a meeting to take place.

Complex Systems, Chaos and Self-Organisation,    Mathematical Physics

NuTMiC 2021 will be the third edition of a cycle of conference on the application of number theory to cryptography and cryptanalysis.

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

There is an age-old relationship between arithmetic and geometry, going back at least to Euclid's Elements. Historically, it has usually been geometry that has been used to enrich our understanding of arithmetic, but the purpose of this workshop is to study the flow of information in the other direction. Namely, how can arithmetic enhance our understanding of geometry? This meeting will bring together researchers from both sides of the partnership, to explore ways to bind the two fields ever closer together.

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

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

One focus of modern number theory is to study symmetries of numbers that are roots of polynomial equations. Collections of such symmetries are called Galois groups, and they often encode interesting arithmetical information. The theory of Galois representations provides a way to understand these Galois groups and in particular, how they interact with other areas of mathematics. This workshop will investigate how these Galois representations can be put together into families, and search for new arithmetic applications of these families.

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

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

Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

One remarkable development in algebraic number theory over the last two decades is the proof of many cases of the main conjecture of Iwasawa theory for elliptic curves over the rational, leading to spectacular advances on the Birch and Swinnerton-Dyer conjecture. Over the past few years, the methods used to prove these results have been refined to remove some of their hypotheses and extended to other settings, but despite these improvements some important cases remain largely open. This workshop aims to foster new developments in these directions by clarifying the state of the art of the aforementioned results, identifying some of the technical limitations of the current methods, and encouraging the exchange of ideas between participants with different areas of expertise, while also bringing new researchers (recent PhDs and post-docs) in the area up to speed on current methods and results.

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.

Group Theory,    Geometry and Topology

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

The Functoriality conjectures, formulated by Langlands in 1967, have been a driving force behind much of the work in both Number theory and Representation theory in the last 50 years. This workshop will explore a relatively new approach to the conjectures stemming from Langlands' recent proposal called ``Beyond Endoscopy''. This proposal has since blossomed in the work of many mathematicians and has produced very interesting recent results in several areas of mathematics from algebraic geometry through representation theory to analytic number theory.

Courses and Events for Math Students and Early Career Researchers,    Algebra

CIRM – Centre International de Rencontres Mathématiques

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