Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

Singular plane curves and stable nonsqueezing phenomena

The existence of rational plane curves of a given degree with prescribed singularities is a subtle and active area in algebraic geometry. This problem turns out to be closely related to difficult enumerative problems which arise in symplectic field theory, which in turn play a central role in the theory of high dimensional symplectic embeddings. In this talk, I will discuss various perspectives on these enumerative problems and present a new closed formula for relevant curve counts as a sum over decorated trees.

Date & Time

April 15, 2022 | 9:15am – 10:45am

Location

Remote Access

Affiliation

University of Southern California

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