Conferencia en Univ. de Valladolid
Ponente: Emmanuel Paul (Université Paul Sabatier)
Título: "Painlevé character varieties"
Lugar y fecha: martes 29 de octubre a las 17h, Seminario del IMUVA (Universidad de Valladolid).
Resumen: A linear connexion with 4 singular regular points induces by monodromy a representation of the fundamental group of the sphere punctured by 4 points. If the connexion has irregular singular points we need to introduce "wild fundamental groupoid"s. I will present the construction of such groupoids , their representations and the morphims between them. They define confluent morphisms between the corresponding character varieties. Our main result states that these morphisms are birational maps, which allows to define confluent dynamics on wild character varieties.