[CvGmt News] [Notiziario] [Settimanale] avviso seminario di Matematica prof. Benjamin Sharp (26.06.2019)

[Valeria Giuliani]

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 at sns.it
E-mail: classi at sns.it

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