Lecture 2: Torsion values for sections in abelian schemes and the Betti map

Tuesday, November 14, 2017 -
4:30pm to 5:30pm

We shall consider further variations in the games, obtaining more general Betti maps. We shall also illustrate some links of the Betti map with several other contexts (Manin's theorem of the kernel, linear differential equations, Pell's equation in polynomials, Belyi maps,  extremal polynomials,  Integration in finite terms, Functional transcendence, Kodaira-Spencer map, ...) and state some theorems, both of existence type and finiteness type (obtained mainly in joint work with David Masser).

Umberto Zannier
Scuola Normale Superiore-Pisa
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