Conférences - Théorie des nombres, arithmétique - Canada

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1
Modern Breakthroughs in Diophantine Problems
30 aou 2020 - 04 sep 2020 • Banff, Canada
Organisateur:
Banff International Research Station for Mathematical Innovation and Discovery
Résumé:
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.
Identifiant de l'évènement:
1245725
Sujets apparentés:
2
Arithmetic Aspects of Algebraic Groups
06 sep 2020 - 11 sep 2020 • Banff, AB, Canada
Organisateur:
Banff International Research Station for Mathematical Innovation and Discovery
Résumé:
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.
Identifiant de l'évènement:
1245735
Sujets apparentés:
3
Geometry via Arithmetic
11 jul 2021 - 16 jul 2021 • Banff Centre in Alberta, Canada
Organisateur:
Banff International Research Station for Mathematical Innovation and Discovery (BIRS)
Résumé:
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.
Identifiant de l'évènement:
1364337
4
Arithmetic Aspects of Deformation Theory
18 jul 2021 - 23 jul 2021 • Banff Centre in Alberta, Canada
Organisateur:
Banff International Research Station for Mathematical Innovation and Discovery (BIRS)
Résumé:
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.
Identifiant de l'évènement:
1364369
5
Lattices and Cohomology of Arithmetic Groups: Geometric and Computational Viewpoints
03 oct 2021 - 08 oct 2021 • Banff, Alberta, Canada
Organisateur:
Banff International Research Station for Mathematical Innovation and Discovery (BIRS)
Résumé:
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.
Identifiant de l'évènement:
1356620
Sujets apparentés:
6
Cohomology of Arithmetic Groups: Duality, Stability, and Computations
10 oct 2021 - 15 oct 2021 • Banff, Alberta, Canada
Organisateur:
Banff International Research Station for Mathematical Innovation and Discovery (BIRS)
Résumé:
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.
Identifiant de l'évènement:
1356695
7
Basic Functions, Orbital Integrals, and Beyond Endoscopy
14 nov 2021 - 19 nov 2021 • Banff Centre in Alberta, Canada
Organisateur:
Banff International Research Station for Mathematical Innovation and Discovery (BIRS)
Résumé:
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.
Identifiant de l'évènement:
1364420


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Dernière mise à jour: 07 Juillet 2020