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Solly Parenti – University of Wisconsin-Madison
December 1, 2017 @ 4:30 pm - 5:30 pm
The Colmez Conjecture
The Faltings height of an abelian variety is a fundamental invariant that was introduced in the proof of the Mordell conjecture. Pierre Colmez formulated a conjectural interpretation of the Faltings height of a CM abelian variety in terms of log derivatives of Artin L-functions coming from the data of the CM type. I will talk about this conjecture, what is known, and my recent work on the case where the CM abelian variety admits an action by an imaginary quadratic field.