Qaasim Shafi (Heidelberg)

An old theorem, due to Mikhalkin, says that the number of
rational plane curves of degree d through 3d-1 points is equal to a
count of tropical curves (combinatorial objects which are more amenable
to computations). There are two natural directions for generalising this
result: extending to higher genus curves and allowing for more general
conditions than passing through points. I’ll discuss a generalisation
which does both, as well as recent work connecting it to mirror symmetry
for log Calabi-Yau surfaces. This is joint work with Patrick
Kennedy-Hunt and Ajith Urundolil Kumaran.

https://sites.google.com/view/heidelbergag/algebraic-geometry-seminar