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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.