05.10.2010 (Tuesday)

The Goettsche conjecture

Regular Seminar Richard Thomas (Imperial College)

at:
16:00 City U.
room CG05
abstract:

Given an r-dimensional family of degree d plane curves, it is a classical (Victorian) question how many there are with r nodes. I will attempt to explain what this means, what form Goettsche and others conjectured for the answer (for curves on arbitrary complex surfaces), and a short proof.