Séminaires : Géométrie et dynamique dans les espaces de modules

Equipe(s) : aa, gd,
Responsables :Carlos Matheus, Bram Petri, Anton Zorich
Email des responsables : matheus.cmss@gmail.com, bpetri@imj-prg.fr, anton.zorich@gmail.com
Salle : Olga Ladyjenskaïa (ex-salle 01) à IHP
Adresse :IHP
Description

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

Orateur(s) Vaibhav Gadre - University of Glasgow,
Titre Diagonal flow, topology and applications to Lyapunov exponents
Date19/02/2025
Horaire15:30 à 16:30
Diffusion
Résume
Given a flow on a manifold, we may define the flow group to be the subgroup of the fundamental group generated by the almost flow loops, namely, by based loops that are obtained from flow segments that start and end in a fixed contractible open set. For the diagonal (Teichmüller) flow on a linear invariant submanifold in a stratum of abelian differentials, we prove that the flow group equals the fundamental group. For components of strata of abelian/ quadratic differentials, we use the flow group result to derive simplicity of Lyapunov exponents for the plus and minus Kontsevich—Zorich cocycles, a generalisation in statement and in approach of simplicity for abelian strata by Avila—Viana. In the process, we answer in the affirmative several questions by Yoccoz regarding Rauzy diagrams for interval exchange maps. This is (variously) joint work with Arana-Herrera, Bell, Delecroix, Gutierrez-Romo and Schleimer.

 

SalleOlga Ladyjenskaïa (ex-salle 01) à IHP
AdresseIHP
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