Ruprecht-Karls-Universität Heidelberg
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„Regulators of number fields and abelian varieties“
Assoc. Prof. Fabien Pazuki, Universität Kopenhagen

In the general study of regulators, we present three inequalities. We first bound from below the regulators of number fields, following previous works of Silverman and Friedman. We then bound from below the regulators of Mordell-Weil groups of abelian varieties defined over a number field, assuming a conjecture of Lang and Silverman. Finally we explain how to prove an unconditional statement for elliptic curves of rank at least 4. This third inequality is joint work with Pascal Autissier and Marc Hindry.

Freitag, den 13. Dezember 2019 um 13:30 Uhr, in INF 205, SR A Freitag, den 13. Dezember 2019 at 13:30, in INF 205, SR A

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Gebhard Böckle