Interview at CIRM: Mariusz Lemanczyk

Chaire Jean-Morlet Cirm-Luminy 1 August 2016 - 30 January 2017 Semester on 'Ergodic Theory and Dynamical Systems in their Interactions with Arithmetic and Combinatorics' General themes 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. Activities organized under the remit of the Chair at CIRM: Main conference: Ergodic Theory and its Connections with Arithmetic and Combinatorics 12-16 December 2016 Doctoral school: Applications of Ergodic Theory in Number Theory 17-21 October 2016 Small group 1: Spectral Theory of Dynamical Systems and Related Topics 10-14 October 2016 Small group 2: Ergodic Theory and Möbius Disjointness 05-09 December 2016 Research in Pairs 1: Dynamical Properties of Systems Determined by Free Points in Lattices 25 Sept-07 Oct 2016 Research in Pairs 2: On the Stability of Möbius Disjointness in Topological Models 22-31 October 2016