[CvGmt News] avviso seminario di matematica Dr. Niels Borne (10.10.2012)

Valeria Giuliani valeria.giuliani at sns.it
Wed Oct 3 11:12:00 CEST 2012


SEMINARIO DI MATEMATICA


    Mercoledì 10 ottobre 2012

Ore 15.00

_Scuola Normale Superiore_

Pisa

Aula Mancini

*__*

*Niels Borne//*

/Université de Lille 1/

Terrà un seminario dal titolo:

*/"/**Lifting sections along torsors**/"/***

*//*

*//*

*/Abstract:/*

/Let k be a number field and X/k a proper hyperbolic curve. Each 
rational point gives a section of the morphism of étale fundamental 
groups ?//1//(X) Gal//k//. Grothendieck's section conjecture predicts 
that this gives a bijection between the set of rational points and the 
set of such sections, up to conjugacy. A stunning consequence of a 
refined version of this conjecture is that for each open subset U of X, 
a section of ?//1//(X) //Gal//k//lifts to a section of 
?//1//(U)//Gal//k//. This consequence, the cuspidalization conjecture, 
is also part of various strategies to attack the section conjecture. As 
a first approach, one can study the lifting of a section of ?//1//(X) 
//Gal//k//to a section of ?//1//(E) //Gal//k//, where E/X is a natural 
torsor under a torus, trivial over U. I will explain how to get positive 
results in this setting for very specific U and only when k = *Q*. This 
is joint work (in progress) with Michel Emsalem and Jakob Stix/.

*//*

Tutti gli interessati sono invitati a partecipare.

Classe di Scienze

-- 
Valeria Giuliani
Scuola Normale Superiore
Area Didattica
Servizio Supporto attivita Didattiche
tel.050509260
Fax.050509045
v.giuliani at sns.it
adi.sd at sns.it

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