[CvGmt News] [Notiziario] [Settimanale] avviso seminario di matematica prof. Costante Bellettini (24.11.2017)

[Valeria Giuliani]

SEMINARIO DI MATEMATICA


Venerdì 24 novembre 2017

ore 14:00



*Scuola Normale Superiore*

Pisa

Aula Tonelli



 *Costante Bellettini*

*(University College London)*



terrà un seminario dal titolo:



*“Stable constant-mean-curvature hypersurfaces: regularity and compactness”*



*Abstract:*

*This talk describes a recent joint work of the speaker with Neshan
Wickramasekera (Cambridge). The work develops a regularity theory,  with an
associated compactness theorem, for weakly defined hypersurfaces
(codimension 1 integral varifolds) of a smooth Riemannian manifold that are
stationary and stable on their regular parts for volume preserving ambient
deformations. The main regularity theorem gives two structural conditions
on such a hypersurface that imply that, away from a set of codimension 7 or
higher, the hypersurface is locally either a single smoothly embedded disk
or precisely two smoothly embedded disks intersecting tangentially. Easy
examples show that neither structural hypothesis can be relaxed. An
important special case is when the varifold corresponds to the boundary of
a Caccioppoli set, in which case the structural conditions can be
considerably weakened.*



Tutti gli interessati sono invitati a partecipare.



Classe di Scienze Matematiche e Naturali


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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