Séminaire joint entre l'université Paris Saclay et Nantes université - Spécialisé en géometrie symplectique et de contact
Overtwisted contact structures
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Nom de l'orateur
Roger Casals
Etablissement de l'orateur
ICMAT Madrid
Date et heure de l'exposé
Lieu de l'exposé
Salle éole
In this talk we discuss a criterion that characterizes overtwisted contact structures. The result establishes seven equivalent properties that relate overtwistedness to loose Legendrians, adapted open books decompositions and thick neighborhoods of overtwisted submanifolds. We first provide the necessary definitions and properties involved in the criterion, and then present the proof of (part of) these equivalences. Finally, we explore possible consequences and applications. This is joint work with E. Murphy and F. Presas.