[CvGmt News] seminario di matematica Dr. Vincenzo Mantova (9.12.2010)

[Valeria Giuliani]

SEMINARI DI MATEMATICA

 
Giovedì 9 dicembre 2010
ore 16.00

 

Scuola Normale Superiore

Pisa

(Aula Tonelli)

Vincenzo Mantova

Scuola Normale Superiore di Pisa

 

Terrà un seminario dal titolo:

 

 

"A Differential Nullstellensatz and the Mordell-Lang Conjecture"

Abstract:

 

The Mordell-Lang Conjecture is a difficult statement about the rational points of the subvarieties of semi-abelian varieties, and it has several consequences in diophantine geometry, such as Faltings' Theorem and the Manin-Mumford Conjecture. It has been proven with several methods, ranging from algebraic geometry to model theory.We focus our attention on the relative Mordell-Lang Conjecture for function fields of characteristic 0. Since in this case the ground field is equipped with a differential operator, it is possible to embed it in a so-called "differentially closed field": in such fields, a weak form of Nullstellensatz holds (i.e., varieties defined as zeroes of differential polynomials have rational points in the fields).We will see how this differential Nullstellensatz can be axiomatized, and we will show some basic consequences that establish analogies between the structure of differential varieties and algebraic varieties. We will then discuss some of the ideas behind exploiting differentially closed fields in order to give a relatively simple proof of the Mordell-Lang Conjecture for function fields (from works of Buium, Pillay and Ziegler)."

 

Tutti gli interessati sono invitati a partecipare.

 

 

                                                                                              Classe di Scienze

 

--------------------------------------------------------------------------------
Valeria Giuliani
Scuola Normale Superiore
Servizio Supporto Attività Didattiche - Scienze
Tel. 050-509260
Fax. 050-509045
Piazza dei Cavalieri, 7
56126 Pisa
E-Mail: v.giuliani at sns.it 
E-Mail: segreteria.scienze 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/20101202/3b260f92/attachment-0001.htm>
-------------- next part --------------
A non-text attachment was scrubbed...
Name: Mantova 9.12.2010.pdf
Type: application/pdf
Size: 46008 bytes
Desc: not available
URL: <http://cvgmt.sns.it/pipermail/news/attachments/20101202/3b260f92/attachment-0001.pdf>