100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Diptaishik Choudhury

Measured foliations at infinity of quasi-Fuchsian manifolds near the Fuchsian locus
Jeudi, 13 Janvier, 2022 - 14:00
Résumé : 

Measured foliations at infinity of a quasi-Fuchsian manifold are horizontal measured foliations of the Schwarzian derivatives associated to the boundary at infinity of a quasi-Fuchsian manifold. Given a pair of measured foliations (F,G) that fill a closed hyperbolic surface I will demonstrate a theorem about how tF and tG (where t>0 is small enough) can be realized as the measured foliations at infinity of a quasi-Fuchsian manifold which is sufficiently close to being Fuchsian. Starting from the definitions, the plan of the talk will be to describe the elements in the proof of the theorem and see how it draws parallels to a similar result for bending measured laminations of a quasi-Fuchsian manifold, proved previously by Bonahon.

Institution de l'orateur : 
IF
Thème de recherche : 
Théorie spectrale et géométrie
Salle : 
4
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