Virtually overtwisted structures on lens spaces and their Stein fillings

Nom de l'orateur
Edoardo Fossati
Etablissement de l'orateur
Scuola Normale Superiore, Pisa
Date et heure de l'exposé
Lieu de l'exposé
Salle Eole

Everything has been said about Stein fillings of lens spaces when they are endowed with their standard (tight) contact structure. Nevertheless, lens spaces support many more tight structures, that are all classified, but for which a complete list of their Stein fillings is still missing. I will present a series of methods and techniques which can be used to investigate the topology of these fillings, giving constraints, for example, on their Euler characteristic and fundamental group.