| Résume | In my two talks, I will present the paper "BPS polynomials and Welschinger invariants" of Argüz and Bousseau which shows that the Block-Göttsche polynomials of a toric del Pezzo surface S compute the BPS polynomials of the product of S with P^1. From this, it is conjectured that more the Welschinger invariants of Blow-ups of P^2 can always be recovered by specializing the BPS polynomials, which is confirmed in some cases. The proof uses degenerations of the toric surface, after which both the BPS polynomials and the Welschinger invariants are related to counts of floor diagrams. |
