SEMINARIO DI MATEMATICA
*Mercoledì 26 giugno 2019*
ore 16:00
*Scuola Normale Superiore*
Pisa
Dipartimento di Matematica
Sala Riunioni
*Benjamin Sharp* *(**University of Leed**)*
Terrà un seminario dal titolo: “Global estimates for harmonic maps from surfaces”
*Abstract:*
A celebrated theorem of F. Hélein guarantees that a weakly harmonic map from a two-dimensional domain is always smooth. The proof is of a local nature and assumes that the Dirichlet energy is sufficiently small; under this condition it is possible to re-write the harmonic map equation using a suitably chosen frame which uncovers non-linearities with more favourable regularity properties (so-called div-curl or Wente structures). We will prove a global estimate for harmonic maps without assuming a small energy bound, utilising a powerful theory introduced by T. Rivière. Along the way we will highlight the relevance of Wente-type estimates in neighbouring areas of geometric analysis, and hint as to why the analogous higher-dimensional global estimate remains a challenging open problem. This is a joint work with Tobias Lamm.
Tutti gli interessati sono invitati a partecipare.
Classe di Scienze
Valeria Giuliani Scuola Normale Superiore Servizio alla Didattica e Allievi tel. 050 509260 Piazza dei Cavalieri, 7 56126 Pisa E-mail: valeria.giuliani@sns.it E-mail: classi@sns.it