Recent Developments on the Arithmetic of Special Values of L-functions

11 - 15 December 2017
Organisers :
  • 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 ...

Professor John Coates Bernoulli Lecture - Non-Vanishing of some Birch-Swinnerton-Dyer L-values.

14 December 2017
Organisers :
  • 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, ...

Borel combinatorics and ergodic theory conference

05 - 09 February 2018
Organisers :
  • 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 ...

Bernoulli Lecture - Undecidability in the Theory of Abelian Group Actions

08 February 2018
Organisers :
  • 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 Zn, we see a pattern develop: problems which are easy for n=1 become much more difficult for n at least ...

Structure and dynamics of Polish groups conference

19 - 23 March 2018
Organisers :
  • 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 ...

Large scale geometry of Polish groups workshop

26 - 29 March 2018
Organisers :
  • 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 ...

Bernoulli Lecture - What is Probability?

27 March 2018
Organisers :
  • 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 ...

Ideals and exceptional sets in Polish spaces

04 - 08 June 2018
Organisers :
  • 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 ...

Descriptive set theory conference

18 - 22 June 2018
Organisers :
  • 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.

11th Young Set Theory Workshop

25 - 29 June 2018
All information available here

Introduction to Partition Functions

16 - 27 July 2018
Organisers :
  • 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.

Theoretical Challenges in Partition Functions

01 - 05 October 2018
Organisers :
  • 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.

Applications of Partition Functions

12 - 16 November 2018
Organisers :
  • 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.