Robin Hartshorne : RTG Deformation Theory Mini-Course IV

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

March 6, 2015, 1 p.m.

In

SEO 427

Abstract

My goal is to introduce some of the basic ideas of deformation theory in algebraic geometry, with interesting examples. This will include first order deformations, the Hilbert scheme, smoothable singularities, higher order deformations and smoothness. Then as time permits, deformation of abstract varieties, rigid varieties, prorepresentable functors, fine and coarse moduli spaces, and examples from the moduli of curves. The text for this course is my book "Deformation theory" Springer 2010, GTM 257. Prerequisities are a basic knowledge of algebraic geometry such as in GTM 52.