Current Developments in Mathematics
On the averaged Colmez conjecture
Pages: 125 – 178
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.
This research was supported in part by NSF grants DMS-1201480 and DMS-1501583.
Published 17 December 2019