Ruprecht-Karls-Universität Heidelberg
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„Bounding the Iwasawa invariants of Selmer groups“
Dr. Sören Kleine, Universität der Bundeswehr München

Let $A$ be an abelian variety with ordinary reduction at a rational prime $p$, defined over a number field $K$. We study the growth of Selmer groups of $A$ over the intermediate fields of distinct $\mathbb{Z}_p$-extensions of $K$. Proving that the knowledge of the Selmer group of $A$ over a sufficiently large number of finite layers of a $\mathbb{Z}_p$-extension suffices for bounding the overall growth, we relate the asymptotic growth (i.e., the Iwasawa invariants) of Selmer groups over different $\mathbb{Z}_p$-extensions of $K$.

Freitag, den 1. Februar 2019 um 13:30 Uhr, in INF 205, SR A Freitag, den 1. Februar 2019 at 13:30, in INF 205, SR A

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Dr. José Ibrahim Villanueva Gutiérrez