“Lifting of Sobolev maps into closed Riemannian manifolds via double coverings and minimal connections relative to planar sets”

Giovedì 7 Maggio 2026, ore 12:30 - Aula 2BC30 - Federico Luigi Dipasquale (Scuola Superiore Meridionale)

Abstract

In this talk, we consider Sobolev maps from a planar domain into a closed Riemannian manifold and their BV liftings via a double covering of the target. We present a sharp lower bound on the jump length of the lifting, established in a recent joint work with G. Canevari (Università di Verona) and B. Stroffolini (Università degli studi di Napoli Federico II), and expressed in terms of a geometric quantity: the minimal connection, relative to the domain, of the non-orientable singularities.


Seminari di Equazioni Differenziali e Applicazioni