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

[Valeria Giuliani]

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

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