22 mars 2019

Laura Starkston (UC Davis)
Symplectic versus algebraic curves in the complex projective plane

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Lieu : Université de Nantes, Laboratoire de Mathématiques Jean Leray, Salle Eole.

Résumé : We will discuss the existence and classifications of various types of symplectic surfaces, with singularities modeled on those of complex curves. We will see similarities and differences between the symplectic and algebraic categories, reflecting the rigidity of pseudoholomorphic curves, the complexity of 4-dimensional topology, and the flexibility of the open symplectic condition for submanifolds. We will particularly report on results on rational cuspidal curves in the symplectic category. This is joint work with Marco Golla.

Symplectic versus algebraic curves in the complex projective plane  Version PDF

Roger Casals (UC Davis)
Contact Submanifolds in the Higher-Dimension

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Lieu : Université de Nantes, Laboratoire de Mathématiques Jean Leray, Salle Eole.

Résumé : In this talk, I will discuss our understanding of contact submanifolds in higher-dimensions. First, I will introduce the problems we are interested in and the current techniques we have to address them. In the main focus of the talk, I will present the construction of contactomorphic (and smoothly isotopic) contact submanifolds which are actually not contact isotopic. This resolves one of the main questions we had in the higher-dimension. Finally, I will be introducing related works in progress and lines of future development. This talk is partially based on my work with J. Etnyre.

Contact Submanifolds in the Higher-Dimension  Version PDF