Giroux 60 - Convexity in contact and symplectic topology

Collection Giroux 60 - Convexity in contact and symplectic topology

Organizer(s) Colin, Vincent ; Courte, Sylvain ; Eynard-Bontemps, Hélène ; Massot, Patrick ; Seyfaddini, Sobhan
Date(s) 04/08/2022 - 08/08/2022
linked URL https://indico.math.cnrs.fr/event/5788/
6 18

Singular plane curves and stable nonsqueezung phenomena

By Kyler Siegel

The existence of rational plane curves of a given degree with prescribed singularities is a subtle and active area in algebraic geometry. This question turns out to be closely related to difficult enumerative problems which arise in symplectic field theory, and which in turn play a key role in the theory of high dimensional symplectic embeddings. In this talk I will discuss various perspectives on these enumerative problems and how recent advances on the symplectic side can give insight into the theory of singular curves and vice versa.

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