| Résume | In these two talks I will introduce Pierrick Bousseau's work on a relationship between some Gromov-Witten invariants of a toric surface and the Block-Göttsche invariants which were defined in Ilia's talk. When the toric surface satisfies the so-called "h-transversality" condition, the invariants are more easily defined: I will focus on this case. On the tropical side, it amounts to consider particular configurations of points which are "vertically stretched". The corresponding tropical curves split into "floor diagrams": I will explained what those are, and how the Block-Göttsche invariants can be computed in this situation. If time permits, I will already sketch the structure of Bousseau's argument. |
