Seminar in Real and Complex Geometry

Thursday, January 9, 2025, 16:15-17:45, online via zoom




Gurvan Mével
(Nantes University)

Floor diagrams and refined invariants in positive genus


Abstract
             

Göttche-Schroeter invariants are a rational tropical refined invariant, i.e. a polynomial counting genus 0 curves on toric surfaces. In this talk I will use a floor diagrams approach to extend these invariants in any genus. I will then say few words on the link between this new quantity and the one simultaneously defined by Shustin and Sinichkin.