- 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
...

- John Coates

I will discuss some recent joint work with Yongxiong Li which shows how one can use Iwasawa theory at the neglected prime p=2 to prove stronger versions of an old theorem of David Rohrlich on the non-vanishing of Birch-Swinnerton L-values of the Gross family of elliptic curves with complex multiplication,
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- Damien Gaboriau
- Clinton Conley

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 ...

- Steve Jackson

The combinatorics of abelian group actions on Polish spaces has been the subject of recent investigation, and is (somewhat surprisingly) interesting and non-trivial. If one considers the actions of Z^{n}, we see a pattern develop: problems which are easy for n=1 become much more difficult for n at least
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- 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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- Mikhail Gromov

The success of the probability theory in mathematics and theoretical physics is due not so much to its measure theoretic foundation but because it exploits and enhances symmetries of the structures it applies to.
We shall describe in this lecture two alternative approaches to the concept
of probability, where

- the first ...

- 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 Todorcevic

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.

- Slawomir Solecki

TBA

- Rüdiger Urbanke
- Nisheeth Vishnoi

A mix of introductory lectures and research talks on partition functions and techniques for their computation, including methods such as Markov chains, correlation decay, belief propagation and convex optimization.

- Nisheeth Vishnoi
- Rüdiger Urbanke

The goal of this workshop is to find translations and connections between various approaches to compute partition functions and, at the same time, advance the state-of-the-art in each.

- Rüdiger Urbanke
- Nisheeth Vishnoi

The goal of this workshop is to discuss the wide set of practical and theoretical applications of the computability of partition functions and address the challenges that arise.