Groupe d’études et de recherche en analyse des décisions

Applications of additive combinatorics to homogeneous dynamics

Alex Kontorovich Rutgers University, États-Unis

We will discuss the role played by additive combinatorics in attacks on various problems in dynamics related to finer equidistribution questions beyond Duke's Theorem, particularly those posed by McMullen and Einsiedler-Lindenstrauss-Michel-Venkatesh. This work is joint with Jean Bourgain.