Description
Speaker: Ritwik Mukherjee (IMSc, Chennai)
Title: Enumerative Geometry of singular curves in a Linear System
Abstract: Enumerative geometry is a branch of mathematics that deals
with the following question: "How many geometric objects satisfy certain
constraints". A well known class of enumerative question is to count curves
in a linear system H^0(X,L) that have some prescribed singularities. In
this
talk we will describe a topological method to approach this problem. We
will
express the enumerative numbers as the Euler class of an appropriate
bundle.
We will then go on to explain how we compute the degenerate contribution of
the
Euler class using a topological method.