Speaker
Mara Ungureanu
Description
Enumerative geometry is an old subject with roots in the 19th century
whose aim is to count the number of geometric objects of a certain
type that satisfy given conditions. Advances in both mathematics, and
unexpectedly, mathematical physics have led to the resolution of many
of its conjectures and have highlighted new deep connections between
mathematics and string theory.
In this talk I will describe a classical enumerative problem, namely
de Jonquières' count of certain prescribed hyperplane tangency
conditions to a smooth curve embedded in projective space. I will
then attempt to explain how this problem relates to certain ergodic
dynamical systems and ultimately cohomological field theories.
