[CvGmt News] avviso Colloquio De Giorgi Prof.Shou-Wu Zhang (15.10.2012) - Reminder

Valeria Giuliani valeria.giuliani at sns.it
Thu Oct 11 10:58:15 CEST 2012


Il 04/10/2012 10:01, Valeria Giuliani ha scritto:
>
> Colloquio De Giorgi
>
>
>     Lunedì 15 ottobre 2012
>
> ore 16.00
>
> _Scuola Normale Superiore_
>
> Pisa
>
> (Aula Mancini)
>
> *__*
>
> *Shou-Wu Zhang*
>
> /Princeton University/
>
> //
>
> Terrà un seminario dal titolo:
>
> */"/**Congruent numbers and Heegner points"*
>
> *//*
>
> */Abstract:/*
>
> /A positive integer n is congruent if it is the area of a right-angled 
> triangle all of whose sides have rational length. A special case of 
> BSD asserts that every positive integer which is congruent to 5, 6 or 
> 7 mod 8 should be congruent, but the proof in general is a problem of 
> the level of the Riemann Hypothesis. The lecture will explain a proof 
> of the following recent result: Theorem (Ye Tian) For any given 
> integer k>0, there are infinitely many square-free congruent numbers n 
> in each class of 5, 6, 7 mod 8 with exactly k prime divisors. The case 
> k=1 was proven by Heegner, and the case k=2 by Monsky, but nothing was 
> known before for k>2. The proof of for general case is by induction on 
> k and uses a generalized Gross--Zagier formula./
>
> //
>
>
> 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


-- 
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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