ORBIT CLOSURES

Grupo de Trabalho

Verão 2020 DO PGMAT-UFF

INSTITUTO DE MATEMÁTICA E ESTATÍSTICA

BLOCO H, SALA 205, CAMPUS DO GRAGOATÀ, UFF

19, 20 e 21 de FEVEREIRO DE 2020

PROGRAM

 Wednesday , february 19th: The “classical” theorem of Ratner

10-12 Plinio Guillel, The case of SL(2,R): Hedlund and Dani-Smillie’s theorem

13:30-15:30 Felix Lequen, A modern proof of Ratner’s theorem following Einsiedler, Margulis, Mohammadi, Venkatesh

16-17 Alejandro Kocsard ,  Some consequences (Oppenheim conjecture, etc)

Thursday , february 20th: Benoist-Quint’s Theorem

10-12 Florestan Martin-Baillon, Basics on Markov processes (martingale’s theorem) and random matrix products (Lyapunov exponents)

13:30-15: 30 Gabriel Calsamiglia, Proof of BQ’s theorem in the SL(2,R)-case I: the stable foliation and the horocyclic flow

16-18  Bertrand Deroin, Proof of BQ’s theorem in the SL(2,R)-case II: the exponential drift argument

Friday, february 21st: Affine manifolds in Teichmüller dynamics

10-13 Florent Ygouf

For references check this folder.

With the support of UFF and CNPq

Organizers:

G. Calsamiglia and B. Deroin

gcalsamiglia (at) id.uff.br and bertrand.deroin (at) gmail.com

Poster of the event here.