Student Arithmetic Geometry Seminar: Local Moduli of Abelian Varieties

Seminar | September 29 | 4:10-5 p.m. | 740 Evans Hall

 Eric Chen, UCB

 Department of Mathematics

We begin with a brief review on infinitesimal lifting, which leads us into the general setup of deformations over a local Artin ring. I will state and use the main tool in this setting, Schlessinger's criterion, to outline the proof of a lifting result due to Grothendieck. If time permits, I will also discuss cohomological obstructions and polarization.