[CvGmt News] avviso seminario di Matematica prof. David Masser (25.10.2016)- reminder

Valeria Giuliani valeria.giuliani at sns.it
Wed Oct 19 12:13:33 CEST 2016


Valeria Giuliani
Scuola Normale Superiore
Servizio alla Didattica e Allievi
tel. 050 509260
Piazza dei Cavalieri, 7
56126 Pisa
E-mail: valeria.giuliani at sns.it
E-mail: classi at sns.it

2016-10-13 9:38 GMT+02:00 Valeria Giuliani <valeria.giuliani at sns.it>:

> SEMINARIO DI MATEMATICA
>
> Martedì 25 ottobre 2016
>
> ore 16:30
>
>
>
> *Scuola Normale Superiore*
>
> Pisa
>
> Aula Bianchi Scienze
>
>
>
> *David Masser*
>
> (*University of Basel)*
>
>
>
> terrà un seminario dal titolo:
>
>
>
> *“**Elementary integration and relative *
>
> *Manin-Mumford”*
>
>
>
> *Abstract:*
>
> *In 1916 Hardy wrote “... no general method has been devised by which we
> can always tell, after a finite series of operations, whether any given
> integral is really elementary, or elliptic, or belongs to a higher order of
> transcendents.” And 100 years later nothing has changed too much. Every
> schoolgirl knows that R √ dx x(x−t) is elementary; that is, it can be
> expressed with logarithms and exponentials. But not R √ dx x(x−1)(x−t)
> unless t = 0, 1. In 1981 James Davenport asserted that if f is algebraic
> then R f(x, t)dx is elementary for at most finitely many special complex
> values t (unless it is elementary for a general value of t). I describe
> progress by Umberto Zannier and myself on Davenport’s Assertion. The main
> tools are suitable generalizations of the Manin-Mumford conjectures, in
> their very simplest form about roots of unity, but here about torsion on
> families of group varieties.*
>
>
>
>
>
> Tutti gli interessati sono invitati a partecipare.
>
>
>
> Classe di Scienze Matematiche e Naturali
>
>
>
>
> Valeria Giuliani
> Scuola Normale Superiore
> Servizio alla Didattica e Allievi
> tel. 050 509260
> Piazza dei Cavalieri, 7
> 56126 Pisa
> E-mail: valeria.giuliani at sns.it
> E-mail: classi at sns.it
>
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