- Dimitar Jetchev
- Philippe Michel
- Christopher Skinner
- Henri Darmon

The method of Euler systems models L-functions of automorphic forms in terms of motivic or Galois cohomological data (Galois cohomology classes). It is a major tool in the proof of the known cases of the Bloch-Kato conjectures.

The objective of the workshop is to introduce graduate students and junior researchers to ...

The objective of the workshop is to introduce graduate students and junior researchers to ...

- Henri Darmon
- Dimitar Jetchev
- Christopher Skinner
- Philippe Michel

Euler systems have been powerful tools in the study of the Birch and Swinnerton-Dyer conjecture. As such, understanding more conceptually the constructions of Euler systems and relating these to other areas of mathematics such as representation theory could be of great interest. The goal of the conference will be to
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- Karl Rubin

In this talk I will begin by introducing elliptic curves and some basic questions about them. After recalling what is known in the case of elliptic curves over the rational numbers, I will discuss some new heuristics and conjectures about how the group of points grows in towers of abelian ...

- Henri Darmon
- Dimitar Jetchev
- Philippe Michel
- Christopher Skinner

This conference will conclude the semester program on "Euler Systems and Special Values of L-functions". The goal will be to present recent advances in the constructions of Euler systems, their applications to the Birch and Swinnerton-Dyer conjecture and Iwasawa theory. Emphasis will be given on novel results obtained during the
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- Clinton Conley
- Damien Gaboriau

The study of measurable group actions on standard Borel spaces is of central importance both in descriptive set theory and ergodic theory.

In recent years, the study of (definable) combinatorial structures (such as graphs, simplicial complexes, geometric objects...) has shown itself to be a powerful tool for understanding group actions and ...

In recent years, the study of (definable) combinatorial structures (such as graphs, simplicial complexes, geometric objects...) has shown itself to be a powerful tool for understanding group actions and ...

- Andreas Thom
- Todor Tsankov

Polish topological groups comprise all locally compact second countable groups, but also most interesting topological transformation groups such as homeomorphism and diffeomorphism groups of compact manifolds, isometry groups of separable complete metric spaces, and automorphism groups of countable model theoretical structures. While all of these classes had been intensively studied
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- Justin Moore
- Christian Rosendal

The topic of this workshop will be geometric group theory in a larger context. As is well known, there are close links between geometric group theory of finitely generated or locally compact groups and geometric non-linear functional analysis, i.e., the non-linear geometry of Banach spaces. While this has for a
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- Márton Elekes
- Slawomir Solecki

Exceptional sets play an important role in numerous branches of mathematics, for instance in measure theory, topology, harmonic and complex analysis, Banach space theory, algebraic geometry, combinatorics, probability and ergodic theory, set theory and descriptive set theory, just to mention a few. Exceptional sets describe notions of smallness from various
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- Alexander Kechris
- Benjamin Miller
- Stevo Todorčević

This is the last conference of the semester and will be of a more general nature than the earlier more specialized conferences and workshops of the program. It will cover broad aspects of descriptive set theory and its connections with other areas of mathematics.