Formal Deformation Theory


15:30:00 - 17:00:00

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

In this talk, we introduce the formal deformation theory and compute some examples. We give the notion of functors of Aritn rings and formal elements of them; in particular we state Schlessinger's theorem, which provides conditions for a functor of Artin rings to be prorepresentable. As an example, for a given algebraic scheme we compute the tangent space of its locally trivial moduli functor, and show that it satisfies some of Schlessinger's conditions. Reference: Edoardo Sernesi, Deformations of Algebraic Schemes