The University of Michigan Combinatorics Seminar
Fall 2007
September 21, 4:10-5:00, 3866 East Hall

Counting plane elliptic tropical curves with fixed j-invariant

Hannah Markwig

University of Michigan


Tropical geometry replaces algebraic varieties by certain ("tropical") degenerations, which are piecewise linear and therefore often easier to study. I will present a result that is easy to derive within tropical geometry, whereas its proof in conventional algebraic geometry is hard: the counting of plane elliptic curves with a fixed j-invariant.

This is joint work with Michael Kerber.