Séminaires : Géométrie et dynamique dans les espaces de modules

Séminaire mensuel à l'Institut Henri Poincaré, plupart du temps mercredi de 14h à 15h salle Olga Ladyjenskaïa (ex-salle 01). Pour plus de détails voire la page web :

http://carlos.matheus.perso.math.cnrs.fr/seminaire/index.html

Monthly seminar at the Institute Henri Poincaré. It usually takes place on Wednesday from 2pm to 3pm at the room Olga Ladyjenskaïa (ex-room 01). For more details see

http://carlos.matheus.perso.math.cnrs.fr/seminaire/index.html

Many manifolds M come naturally with a distinguished class of submanifolds exhibiting a special behaviour. Examples include abelian varieties with sub-abelian varieties, locally homogeneous spaces with totally geodesic sub-spaces, period domains with sub-period domains, as well as strata of abelian differentials with affine invariant submanifolds. Starting from the recent finiteness theorem of Eskin-Filip-Wright, I will describe various related results (in the different settings described above) and a new framework, based on "Galois theory of foliations", that recovers most of those works. The new approach is effective and it is a joint work with D. Urbanik.