Skip to main content

Complex valued Néron-Tate height pairings

Posted in
Speaker: 
Gerard Freixas i Montplet
Zugehörigkeit: 
Inst. de Math. de Jussieu, Paris
Datum: 
Mit, 08/02/2017 - 14:15 - 15:15
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Néron-Tate height pairings are defined on jacobians of curves over number fields. The jacobian admits the so-called universal vector extension, the moduli of line bundles with connections. I will describe an attempt to extent the Néron-Tate pairing to the universal vector extension, and the relation to the complex valued analytic torsion introduced by Cappell-Miller. The link betweem both is a Riemann-Roch type formula in Arakelov geometry, a variant of Kronecker's second limit formula.

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A