[CvGmt News] [Notiziario] [Settimanale] avviso seminario di matematica prof. Gabriele Mondello (21.03.2019)

Valeria Giuliani valeria.giuliani at sns.it
Thu Mar 14 10:04:02 CET 2019


SEMINARIO DI MATEMATICA



*Giovedì 21 marzo 2019*

ore 16:00



*Scuola Normale Superiore*

Pisa

Aula Fermi



*Gabriele Mondello *
(Roma La Sapienza)



Terrà un seminario dal titolo:

*“On moduli spaces of spherical surfaces with conical points**”*



*Abstract:*

Metrics of positive curvature with conical singularities on surfaces behave
quite differently than flat or hyperbolic ones. In particular, existence
and uniqueness of spherical (i.e. K=1) metrics in a given conformal class
is not granted. The aim of the talk is to address a number of features of
the moduli spaces of spherical metrics on compact oriented surfaces with
conical singularities of prescribed angles. Among the global properties, we
discuss non-emptiness and we show that  such moduli spaces can have an
arbitrarily large number of connected components. Furthermore, we show that
no spherical metric in a given conformal class exists if one angle is too
small. Such result relies on an explicit systole inequality which
relates metric
invariants (spherical systole) and conformal invariants (extremal  systole)
of spherical surfaces, and that can be of independent interest.



This is joint work with Dmitri Panov.



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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