Maciej Borodzik

Title: Heegaard Floer homologies and rational curves in projective surfaces
 
Abstract: 
We show how Heegaard Floer homologies can possibly give obstructions 
for configurations of cuspidal singular points to appear on a rational 
cuspidal curve in a projective surface with p_g=0. The criterion is 
most effective for curves in the projective plane. We discuss further 
generalizations and perspectives. This is joint project with C. Livingston.