[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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