Fall 2009, Thursdays, Milner 216, 4:00-4:50 PM

Date: October 1

"  Making Singular Varieties Smooth "
  Corey Irving  


A variety is the solution set of a collection of multivariate polynomials.
We will discuss how to start with a singular (i.e. non-smooth) variety, X, and find a smooth variety, Y, that maps bijectively onto it almost everywhere. Over the singular points of X, the map may be many to one. This is a topic in classical algebraic geometry. However, no knowledge of algebraic geometry is required; I will use the language of calculus and undergraduate abstract algebra as much as possible.