Séminaire TNGA : Lorenzo La Porta

Orateur : Lorenzo La Porta (Université de Padoue)

Titre : Geometry of special fibres and Serre’s conjectures

Résumé : This talk aims to provide an overview of my research journey, beginning with my graduate thesis and culminating in a discussion of ongoing projects. Key themes include Serre’s modularity conjectures, the study of (some) Shimura varieties in positive characteristic, modular forms and associated mathematical structures, like the stack of G-zips. Particular emphasis will be placed on
theta-operators and their applications, showcasing both classical results and novel insights.