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Texas A&M Number Theory Seminar

Department of Mathematics
Blocker 220
Wednesdays, 1:15–2:15 PM

Solly Parenti

University of Wisconsin

Wednesday, May 2, 2018

Blocker 220, 1:15PM

Title: Unitary CM fields and the Colmez conjecture

Abstract: In 1993, Pierre Colmez conjectured a relation between the Faltings height of a CM abelian variety and certain log derivatives of L-functions associated to the CM type, generalizing the classical Chowla-Selberg formula. I will discuss how we can extend the known cases of the conjecture to a certain class of unitary CM fields using the recently proven average version of the conjecture.