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@sns.it E-mail: classi@sns.it
Valeria Giuliani Scuola Normale Superiore Servizio alla Didattica e Allievi tel. 050 509260 Piazza dei Cavalieri, 7 56126 Pisa E-mail: valeria.giuliani@sns.it E-mail: classi@sns.it
---------- Forwarded message --------- From: Valeria Giuliani valeria.giuliani@sns.it Date: gio 14 mar 2019 alle ore 10:04 Subject: avviso seminario di matematica prof. Gabriele Mondello (21.03.2019) To: professori.sci@sns.it, professori.contratto.sci < professori.contratto.sci@sns.it>, ricercatori.sci@sns.it, < ricercatori.td.sci@sns.it>, Borsisti borsisti@sns.it, < assegnisti.sci@sns.it>, allievi.extra.sci allievi.extra.sci@sns.it, Studenti Scienze allievi.sci@sns.it, phd.extra.sci phd.extra.sci@sns.it, Perfezionandi Scienze phd.sci@sns.it, Esterni Scienze in Convenzione < esterni_sci_inconvenzione@sns.it> Cc: Classi classi@sns.it, Sito SNS sitosns@sns.it, Portineria Carovana < portineria.carovana@sns.it>
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@sns.it E-mail: classi@sns.it
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Valeria Giuliani