Examples of Deformation Functors


15:30:00 - 17:00:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)

In this talk, I will first introduce briefly the concept of obstruction spaces for a functor of Artin rings, and spend the rest of the time discussing examples of deformation functors. Topics include: 1. An explicit description for the local moduli functor in the affine case; 2. Obstruction space for the local moduli functor; 3. Obstruction space for the local Hilbert functor; 4. Deformations of a morphism with target and domain fixed; 5. Tangent space and an obstruction space for deformations with fixed target. Reference: Edoardo Sernesi, Deformations of Algebraic Schemes