[CvGmt News] Avviso seminario di Matematica, prof. Marco Abate (17.07.14)

[Michele Verde]

SEMINARIO MATEMATICA

 


giovedì 17 luglio 2014


ore 10:00 

 

Scuola Normale Superiore

Pisa

Aula Mancini

 

Marco Abate

Dipartimento di Matematica, Pisa

 

Terrà un seminario dal titolo:

 

“Geodesic flow and index theorems for meromorphic connections”

 

 

Abstract:

The study of meromorphic connections on Riemann surfaces is a classical
topic, related for instance to the 21st Hilbert problem.

In this talk I shall introduce a novel point of view, with unexpected
analytic, geometric and dynamical applications. More precisely, I shall show
how to associate to holomorphic maps having a positive-dimensional fixed
point set a meromorphic connection along a foliation in Riemann surfaces,
that can be used to prove several index theorems generalizing and extending
both the classical holomorphic Lefschetz index theorem and the Baum-Bott and
Camacho-Sad index theorems for foliations. Furthermore, I shall describe how
to study with analytical and geometrical techniques the geodesic flow
associated to a meromorphic connection, with the aim of describing the
asymptotic behavior of the real geodesic defined by the connection. Finally,
I shall describe a few applications of these results to the study of the
dynamics of germs tangent to the identity, to the study of the flow of
homogeneous vector fields, and to the study of meromorphic self-maps of the
complex projective space.

 

Tutti gli interessati sono invitati a partecipare.

 

 
Classe di Scienze

 

 

- - - - -
Michele VERDE
Scuola Normale Superiore

Servizio alla didattica e allievi
Piazza Dei Cavalieri, 7
I - 56126 Pisa

 

Tel. 050-509048
E-Mail:  <mailto:michele.verde at sns.it> michele.verde at sns.it
E-Mail:  <mailto:classi at sns.it> classi at sns.it
- - - - -

 

Le informazioni contenute nella presente e-mail e nei relativi allegati
possono essere riservate e sono, comunque, destinate esclusivamente al
destinatario in indirizzo.
E’ vietata, pertanto, la diffusione, distribuzione e/o copiatura di tali
informazioni da parte di qualsiasi soggetto diverso dal destinatario. 
Chiunque abbia ricevuto o letto questa e-mail per errore o senza esserne
legittimato è invitato a darne immediatamente notizia  al mittente tramite
fax o e-mail e a distruggerla.
Grazie.

 

-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://cvgmt.sns.it/pipermail/news/attachments/20140711/1070247d/attachment-0001.html>
-------------- next part --------------
A non-text attachment was scrubbed...
Name: Abate 17_07_14.pdf
Type: application/pdf
Size: 16955 bytes
Desc: not available
URL: <http://cvgmt.sns.it/pipermail/news/attachments/20140711/1070247d/attachment-0001.pdf>