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

[Valeria Giuliani]

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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