Seminar in Real and Complex Geometry

Thursday, November 5, 2020, 16:00-17:30, online (via zoom)

Thomas Blomme
(Université de Neuchâtel)

Refined count of rational tropical curves in arbitrary dimension


In this talk we will introduce a refined multiplicity for rational tropical curves in any dimension. This multiplicity generalizes the multiplicity of Block-Göttsche for planar tropical curves. We also show that the count of solutions to some general tropical enumerative problem using this new multiplicity leads tropical refined invariants, hinting toward the existence of classical refined invariants for classical rational curves.