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Hülya Argüz (Université de Versailles)
2021-06-25 12:00 - 13:00 UTC | https://researchseminars.org/talk/TGiZ/28/
Title: Tropical enumeration of real log curves in toric varieties and log Welschinger invariants (https://researchseminars.org/talk/TGiZ/28/)
by Hülya Argüz (Université de Versailles) as part of Tropical Geometry in Frankfurt/Zoom TGiF/Z

Abstract
We give a new proof of a central theorem in real enumerative geometry: the Mikhalkin correspondence theorem for Welschinger invariants. The proof goes through totally different techniques as the original proof of Mikhalkin and is an adaptation to the real setting of the approach of Nishinou-Siebert to the complex correspondence theorem. It uses log-geometry as a central tool. We will discuss how this reinterpretation in terms of log-geometry may lead to new developments, as for example a real version of mirror symmetry. This is joint work with Pierrick Bousseau.
