Colmez's product formula for CM abelian varieties.

Series
Algebra Seminar
Time
Monday, November 11, 2013 - 3:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Andrew Obus – University of Virginia
Organizer
Kirsten Wickelgren
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.