Conférences - Théorie des groupes - Canada

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1
Fundamental Groups and their Representations in Arithmetic Geometry
04 jul 2021 - 09 jul 2021 • Banff Centre in Alberta, Canada
Organisateur:
Banff International Research Station for Mathematical Innovation and Discovery (BIRS)
Résumé:
In arithmetic geometry, one studies solutions to polynomial equations defined with arithmetically interesting coefficients, such as integers or rational numbers. One way to study such objects, which has seen tremendous success in the last several decades, is by investigating their symmetries. Quite surprisingly, in several interesting situations, many of the geometric and arithmetic properties of the objects in question are actually controlled by the object’s symmetries.
Identifiant de l'évènement:
1364272
2
Totally Disconnected Locally Compact Groups via Group Actions
15 aou 2021 - 20 aou 2021 • Banff Centre in Alberta, Canada
Organisateur:
Banff International Research Station for Mathematical Innovation and Discovery (BIRS)
Résumé:
Group actions are a mathematical approach to analysing structures by studying the rearrangements of the elements of the structure that preserve the defining properties of the structure. Indeed, historically, group theory developed primarily as a technique for handling questions concerning the resolution of algebraic equations (the group introduced here by Galois permutes the roots of the equation), and has since become a standard language for formalising and solving various natural questions from a wide range of mathematics.
Identifiant de l'évènement:
1364343
3
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:
1356662


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Dernière mise à jour: 07 Juillet 2020