Back to Algebraic Geometry Seminar: Fall 2011
Algebraic Geometry Seminar
Date: Tuesday, Dec 6, 2011
Time: 3:30PM - 4:30PM
Location: LCB 222
Jonathan Wise
Stanford University
Title |
Infinitesimal deformation theory and Grothendieck topologies |
Abstract |
To probe the infinitesimal structure of a moduli space of geometric objects, one seeks to understand families of those objects over “fat points”. Remarkably, these deformation problems tend to admit cohomological solutions of a common form: obstructions in H^2, deformations in H^1, and automorphisms in H^0. I will offer an explanation for this common form, coming from some exotic Grothendieck topologies. We will see how this point of view works in several examples. No prior knowledge about Grothendieck topologies or deformation theory will be assumed. |
Algebraic Geometry