Seminar in Real and Complex Geometry

Monday, April 27, 2020, 16:00-18:00, online (via zoom)

Hulya Argüz (Université de Versailles, France)

Tropical enumeration of real log curves in toric varieties


We define real log curves in toric varieties and set up a well-defined counting problem for them using the degeneration approach of Nishinou--Siebert. We then investigate the tropical analogues of such curves to obtain a formula for their counts from the tropical description. Focusing on the two dimensional case, we also explain how to capture Welschinger signs from a local analysis of the degeneration, to obtain log Welschinger invariants. This is joint work with Pierrick Bousseau.