Colmez's product formula for CM abelian varieties.

Algebra Seminar
Monday, November 11, 2013 - 3:00pm
1 hour (actually 50 minutes)
Skiles 005
University of Virginia
We complete a proof of Colmez, showing that the standard product formula for algebraic numbers has an analog for periods of CM abelian varieties with CM by an abelian extension of the rationals. The proof depends on explicit computations with the De Rham cohomology of Fermat curves, which in turn depends on explicit computation of their stable reductions.