Ergodic Theory and Dynamical Systems
in their Interactions with Arithmetic and Combinatorics

Théorie ergodique et systèmes dynamiques dans leurs interactions avec l’arithmétique et la combinatoire
July-December 2016

During the last decades, ergodic theory, in spite of its rather physical origins, has found deep connections with number theory and combinatorics.
These are well established through fundamental works carried out by Margulis and others via a development of the theory of dynamical systems on homogenous spaces of Lie groups, and the work of Furstenberg and others, deeply relating ergodic theory and so-called combinatorial number theory.

The programme intends to focus on a new approach to these interactions, recently proposed by Peter Sarnark, which, using the ergodic theory approach, may lead to a better understanding of some basic arithmetic functions.

Prof. Mariusz LEMANCZYK
Nicolaus Copernicus University Torun
Local Project Leader
> Prof. Sébastien FERENCZI
CNRS, I2M Marseille
Aix-Marseille Université

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Ergodic Theory and its Connections with Arithmetic and Combinatorics (1553)
Théorie ergodique et ses connections avec l’arithmétique et la combinatoire

12-16 December 2016
Applications of Ergodic Theory in Number Theory (1560)
Applications de la théorie ergodique à la théorie des nombres

17-21 October 2016
Spectral Theory of Dynamical Systems and Related Topics (1637)
Théorie spectrale des systèmes dynamiques et sujets apparentés

10-14 October 2016
Ergodic Theory and Möbius Disjointness (1638)
Théorie ergodique et disjonction de Möbius
05-09 December 2016
Dynamical Properties of Systems Determined by Free Points in Lattices (1661)
Propriétés dynamiques des systèmes déterminés par des points libres dans des réseaux

25 September – 07 October 2016
On the Stability of Möbius Disjointness in Topological Models (1662)
Sur la stabilité de la disjonction de Möbius dans les modèles topologiques

22-31 October 2016
Guests in residence during the semester
Invités du semestre