Counting curves

Counting curves

-
Yaim Cooper, Institute for Advanced Study

A classical problem in algebraic geometry is to count the number of curves in a space X satisfying certain conditions. For example, one might like to know the number of curves in P^2 of fixed degree and genus that pass through a number of generic points.  In this talk, we will show a beautiful classical method for doing this.  We will also describe an ongoing project, which uses matrices to tackle this problem.