Séminaire - Juin
Le séminaire aura lieu exceptionnellement un mardi de 14h à 15h à l'Institut Henri Poincaré à Paris. Pour télécharger le programme du mois: juin.pdf.
- 05/06/2018 (mardi) - Simion Filip (Harvard University) - salle 314
Titre:
Discrete groups, Lyapunov exponents, and Hodge theory
Resumé:
Families of algebraic manifolds give interesting examples of discrete
subgroups of Lie groups, via their monodromy. They also lead to
differential equations, such as the hypergeometric ones, whose
solutions have an arithmetic significance. After providing the
necessary background I will explain a proof of a formula conjectured by
Eskin, Kontsevich, Moeller and Zorich relating Lyapunov exponents
(dynamical invariants) with degrees of line bundles (topological
invariants). I will also discuss some special geometric features of the
discrete groups and the corresponding differential equations.