Seminar in Real and Complex Geometry

Thursday, November 18, 2021, 16:00-17:30, online (via zoom)

Penka Georgieva
(Institut de Mathématiques de Jussieu)

Higher-genus real/open counts in dimension 2


After discussing some of the difficulties and progress in defining real and open counts, I will describe a generalisation of the higher-genus Welschinger invariants defined by E. Shustin to the symplectic setting. I will then outline a recursive formula allowing for reduction of the genus and the degree for computing these invariants. This is a joint work in progress with E. Brugallé, Y. Ding, and A. Renaudineau.