On some properties of p-adic multidimensional continued fractions

Vendredi, 21. février 2020 - 14:00 - 15:00
Orateur: 

Lea Terracini (Turin)

Résumé: 

Multidimensional continued fractions were introduced by Jacobi and Perron in order to generalize the well known properties of classical continued fractions to vectors of real numbers. In this talk I propose an introductive fundamental study about multidimensional  continued fractions in the field of the $p$-adic numbers, present some sufficient conditions for their convergence and  provide some result concerning finiteness, periodicity and diophantine properties.