Framed mapping class groups and the monodromy of positive braids (Livio Ferretti, UNIGE)

30.04.2024 10:30

A framing on an orientable surface with boundary is given by a nowhere vanishing vector field (considered up to isotopy). The mapping class group naturally acts on such framings, and the stabilizer of a framing is called a framed mapping class group. Framed mapping class groups arise naturally in a variety of geometric settings, but their algebraic structure is to date very poorly understood. In this talk, we will introduce the basic theory of framed mapping class groups and see how they can be used to study monodromy groups of positive braids (and plane curve singularities). If time permits, we will end discussing applications of similar ideas to the study of more general fibred links.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-05, Tuesday 30.04.2024, Séminaire "Groupes et géométrie"

entrée libre