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Texas A&M University
Mathematics

Number Theory Seminar

Date: February 22, 2017

Time: 1:45PM - 2:45PM

Location: BLOC 220

Speaker: Adrian Barquero-Sanchez, Universidad de Costa Rica

  

Title: The Chowla-Selberg formula for CM abelian surfaces

Abstract: In the 80's Deligne gave a geometric reformulation of the classical Chowla-Selberg formula as an identity expressing the Faltings height of a CM elliptic curve in terms of values of Euler's Gamma function at rational arguments. In this talk I will sketch a proof of a higher dimensional analogue of Deligne's formula, expressing the Faltings height of a CM abelian surface in terms of the Barnes double Gamma function at certain algebraic numbers. This is joint work with Riad Masri.

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