COLLOQUIO DE
GIORGI
David W. Masser
F.R.S.
Universität
Basel
“From
2
to
polarizations on abelian
varieties”
Abstract
The first big success of the general method of Gelfond
(who would have been 100 years old next year) was in proving the transcendence
of numbers as in the title, as conjectured by Hilbert in his Seventh Problem.
This was vastly generalized by Baker in his theory of linear forms in
logarithms. The elliptic analogues of the theory can be extended in order to
estimate isogenies between elliptic curves. Similarly for the abelian analogues;
but here the theory can be taken a step further to estimate polarizations on a
single abelian variety. In our talk we give an account of these developments and
we mention some open problems.
Giovedě 7 dicembre 2006
ore 16.00
Aula Mancini
Piazza dei Cavalieri, 7
PISA