Current Developments in Mathematics

Volume 2018

On the averaged Colmez conjecture

Pages: 125 – 178

DOI: https://dx.doi.org/10.4310/CDM.2018.v2018.n1.a3

Author

Benjamin Howard (Boston College, Chestnut Hill, Massachusetts, U.S.A.)

Abstract

This is an expository article on the averaged version of Colmez’s conjecture, relating Faltings heights of CM abelian varieties to Artin $L$-functions. It is based on the author’s lectures at the Current Developments in Mathematics conference held at Harvard in 2018.

Full Text (PDF format)

This research was supported in part by NSF grants DMS-1201480 and DMS-1501583.

Published 17 December 2019