[CvGmt News] seminario Mondino 14/1

[Daniele Castorina]

Carissimi,

vi segnalo il prossimo seminario di ED a Tor Vergata:

*Martedi' 14 Gennaio 2014, h 14:15, Aula Dal Passo**
**Andrea Mondino (ETH Zurich)**
**"Willmore spheres in Riemannian manifolds" **
**Given an immersion f of the 2-sphere in a Riemannian manifold (M,g) we 
study quadratic curvature functionals of the type: \int_{f(S^2)} H^2, 
\int_f(S^2) A^2, \int_{f(S^2)} )|Aº|^2, where H is the mean curvature, A 
is the second fundamental form, and Aº is the tracefree second 
fundamental form. Minimizers, and more generally critical points of such 
functionals can be seen respectively as GENERALIZED minimal, totally 
geodesic and totally umbilical immersions. In the seminar I will review 
some results (obtained in collaboration with Kuwert, Rivière and 
Shygulla) regarding the existence and the regularity of minimizers of 
such functionals. An interesting observation regarding the results 
obtained with Rivière is that the theory of Willmore surfaces can be 
usesful to complete the theory of minimal surfaces (in particular in 
relation to the existence of canonical smooth representatives in 
homotopy classes, a classical program started by Sacks and Uhlenbeck).*

-- 
Daniele Castorina
Dipartimento di Matematica - Studio 1221
Università di Roma "Tor Vergata"
Via della Ricerca Scientifica 00133 Roma
email: castorin at mat.uniroma2.it
tel: +390672594653

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