SEMINARIO DI MATEMATICA

Giovedì 6 luglio 2006

ore 16.00

Scuola Normale Superiore

Pisa

(Aula Tonelli)

David W. MASSER

Università di Basilea

Terrà  un seminario dal titolo:

“Linear equations in multiplicative groups over positive characteristic”

Abstract

The equation $a_1x_1+...+a_nx_n=1$, to be solved in unknowns $x_1,...,x_n$ lying in a fixed multiplicative group, has been much studied in the case of zero characteristic. However there are not many results over positive characteristic. This case is generally easier to handle, but it presents interesting new features.

For example, although the equation can have infinite $(n-2)$-parameter families of solutions, these can be classified and estimated in a completely effective way. This has applications to multiple mixing problems for algebraic actions on disconnected compact abelian groups.

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