Summer School 2017 - Arakelov Geometry and diophantine applications

Collection Summer School 2017 - Arakelov Geometry and diophantine applications

Organizer(s) Chen Huayi, Emmanuel Peyre, Gaël Rémond

Date(s) 12/06/2017 - 30/06/2017

linked URL https://if-summer2017.sciencesconf.org/

00:00:00 / 00:00:00

31 41

The height of CM points on orthogonal Shimura varieties and Colmez conjecture (part3)

By Fabrizio Andreatta

We will first introduce Shimura varieties of orthogonal type, their Heegner divisors and some special points, called CM (Complex Multiplication) points. Secondly we will review conjectures of Bruinier-Yang and Buinier-Kudla-Yang which provide explicit formulas for the arithmetic intersection of such divisors and the CM points. We will show that they imply an averaged version of a conjecture of Colmez. Finally we will present the main ingredients in the proof of the conjectures. The lectures are base on joint works with E. Goren, B. Howard and K. Madapusi Pera.

Information about the video

Date of recording 28/06/2017
Date of publication 18/02/2026
Institution Institut Fourier
Licence CC BY NC ND
Language English
Format MP4

Domain(s)

Number Theory

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