[CvGmt News] avviso seminario di matematica dr. Lars Khuene (12.02.2014)
valeria.giuliani at sns.it
valeria.giuliani at sns.it
Fri Feb 7 09:55:48 CET 2014
SEMINARIO MATEMATICA
Mercoledì 12 febbraio 2014
ore 16:00
_Scuola Normale Superiore_
Pisa
Aula Mancini
*__*
*__*
*Lars Khuene*
/SNS Pisa/
Terrà un seminario dal titolo:
**
*/“/**A survey on the abc-conjecture/”/*
**
*Abstract:*
/I will give a survey on the abc-conjecture. This conjecture can be stated in an elementary way as a condition on triples (a,b,c) of coprime integers satisfying the linear relation a+b=c. (You may easily find the precise statement by using your favorite search engine.)
Despite its elementary form, the abc-conjecture yields substantial information on how addition and multiplication of integers are interrelated. It is also deeply connected to a variety of (still) evolving topics, among which are Vojta’s conjectures, linear forms in logarithms, Buium’s arithmetic differential equations and geometry over the so-called field of one element.
In addition, an intricate proof of the abc-conjecture has been recently announced by Shinichi Mochizuki but I will not dwell on his many intricate new ideas.
Instead, I will introduce the abc-conjecture, give some of its (historic) motivation and focus on related elementary diophantine problems (around Wieferich primes) that show how/
/few we know about integers./
**
Tutti gli interessati sono invitati a partecipare.
Classe di Scienze
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Valeria Giuliani
Scuola Normale Superiore
Servizio alla Didattica e Allievi
Tel. 050-509260
Piazza dei Cavalieri, 7
56126 Pisa
E-Mail: v.giuliani at sns.it
E-Mail: classi at sns.it
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Grazie.
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