When: Wednesday July 22, 2015, at 11:30

Where: Seminario I, Dept. of Mathematics, Università di Bologna

Who: Francesco Cellarosi (Queen’s University, Canada)

What: Seminar “Recent progress towards Sarnak’s and Chowla’s Conjectures”

Abstract: I will present an overview of Sarnak’s conjecture on the disjointness of the Möbius function from any deterministic sequence and the related Chowla’s conjecture on the self-correlations of the Möbius function. Some progress towards weaker versions of these conjectures have been made recently, and I plan to illustrate them.

Monday  20/7/2015, h 11:30-12:30
Sala Conferenze (Puteano, Centro De Giorgi)

Jacopo De Simoi (University of Toronto)

“AN INTEGRABLE BILLIARD CLOSE TO AN ELLIPSE OF SMALL ECCENTRICITY IS AN ELLIPSE”

Abstract: In 1927 G. Birkhoff conjectured that if a billiard in a strictly convex smooth domain is integrable, the domain has to be an ellipse (or a circle). The conjecture is still wide open, and presents remarkable relations with open questions in inverse spectral theory and spectral rigidity.
In the talk we show that a version of Birkhoff’s conjecture is true for
small perturbations of ellipses of small eccentricity.
This is joint work with A. Avila and V. Kaloshin

Friday, July 17, 2015, h. 16:00-17:00
Sala Conferenze (Puteano, Centro De Giorgi)

Sandro Vaienti (CPT Marseille)

“On recent results of extreme value theory applied to dynamical systems”

Abstract:  We give a review of a few recent results of extreme value theory applied to random dynamical systems and to coupled lattice maps.