| Using tropical geometry, Itenberg, Kharlamov and Shustin have studied the asymptotic behavior of Welschinger invariants of toric del Pezzo surfaces for maximal number of real constraints. In this talk I will present new results I obtained in a joint work with J.-Y. Welschinger regarding the asymptotic behavior of the Welschinger invariants for small number of real constraints. Our method is basedon ideas from the symplectic field theory. |