Seminar in Real and Complex Geometry

Thursday, January 27, 2022, 16:00-17:30, online (via zoom)

Thomas Blomme
(Université de Genève)

Enumeration of tropical curves in abelian surfaces


Tropical geometry is a powerful tool that allows one to compute enumerative algebraic invariants through the use of some correspondence theorem, transforming an algebraic problem into a combinatorial problem. Moreover, the tropical approach also allows one to twist definitions to introduce mysterious refined invariants, obtained by counting curves with polynomial multiplicities. So far, this correspondence has mainly been implemented in toric varieties. In this talk we will study enumeration of curves in abelian surfaces and line bundles over an elliptic curve.