Ruprecht-Karls-Universität Heidelberg
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„Plectic phenomena on Hilbert modular varieties“
Marius Leonhardt, University of Cambridge

The modular curve has had various applications to number theory, in particular to the theory of elliptic curves. But what about applications of other Shimura varieties to higher dimensional abelian varieties? In this talk, we will focus on the Hilbert modular variety and explain one attempt to achieve such analogous applications, via the so-called "plectic conjecture". It involves a mysterious plectic Galois group and actions of this group on various quantities associated to the Hilbert modular variety. In particular, we will look at CM points and (plectic) Galois actions on them.

Freitag, den 10. Januar 2020 um 13:30 Uhr, in INF205, SR A Freitag, den 10. Januar 2020 at 13:30, in INF205, SR A

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Alexander Schmidt und Oliver Thomas