Wednesday, 11 June
02:15 pm
Bielefeld University V2-210/216
On Néron’s canonical local height functions for abelian varieties
Speaker: Robin de Jong
Algebraic and Arithmetic Geometry
We discuss Néron's canonical local heights on abelian varieties over non-archimedean valued fields from the point of view of Berkovich analytic spaces. We present a refinement of Néron's classical result relating his local heights with intersection multiplicities on the Néron model. Our result yields an extension to higher dimensions of Tate's explicit formulas for the canonical local heights on elliptic curves. This is based on joint work with Farbod Shokrieh.
03:45 pm
Bielefeld University V2-210/216
CM points and periods on products of non-Archimedean upper half-planes
Speaker: Carlos Caralps
Algebraic and Arithmetic Geometry
CM points over Shimura curves can be related to periods of a rigid analytic space using the theory of p-adic uniformization. In this talk, we will introduce the key points of this relationship and study a setting where the inverse process can be made explicit. More specifically, following the work of Bertolini, Darmon, and Green, we will show that some periods defined by integrals over products of non-Archimedean upper half-planes are related to CM points of Shimura curves.
Next week
There are no announced talks next week.
Further Talks
Friday, 4 July
01:15 pm
Bielefeld University B2-278
tba
Speaker: Georgios Dalezios
Seminar Representation Theory of Algebras
01:15 pm
Bielefeld University B2-278
tba
Speaker: Martin Kalck
Seminar Representation Theory of Algebras