[CvGmt News] avviso seminario di Matematica prof. Alessandro Carlotto (13.02.2015) - reminder

[Valeria Giuliani]

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

2015-01-28 11:35 GMT+01:00 Valeria Giuliani <valeria.giuliani at sns.it>:

> SEMINARIO DI MATEMATICA
>
>
>
> Venerdì 13 febbraio 2015
>
> ore 14:30
>
>
>
> *Scuola Normale Superiore*
>
> Pisa
>
> Aula Bianchi
>
>
>
> *Alessandro Carlotto*
>
> *Imperial College, London*
>
>
>
> Terrà un seminario dal titolo:
>
> *“ Localizing solutions of the Einstein constraint equations ”*
>
>
>
> *Abstract:*
>
> *A well-known corollary of the positive mass theorem by Schoen-Yau is that
> if an asymptotically flat manifold (of non-negative scalar curvature) is
> exactly flat outside of a compact set, then it has to be globally flat: in
> other terms any such metric can never be localized inside a compact set. So
> what is the "optimal" localization of those metrics? For instance, can one
> produce scalar non-negative metrics that have positive ADM mass and still
> are trivial in a half-space? *
>
>
> *In recent joint work with Schoen, we answer these questions by giving a
> systematic method for constructing solutions to the Einstein constraint
> equations that are localized inside a cone of arbitrarily small aperture.
> This sharply contrasts with various recent scalar curvature rigidity
> phenomena both in the closed and in the free-boundary setting. Moreover,
> the gluing scheme that we adopt allows to produce a new class of exotic
> N-body solutions for the Einstein equation, which patently exhibit the
> phenomenon of gravitational shielding: for any large T we can engineer
> solutions where any two massive bodies do not interact at all for any time
> t\in(0,T), in striking contrast with the Newtonian gravity scenario.*
>
>
>
>
>
> Tutti gli interessati sono invitati a partecipare.
>
> Classe di Scienze Matematiche e Naturali
>
>
> 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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