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

## Three 20 minute research talks

**Mohan Swaminathan (Princeton),** *Super-rigidity and bifurcations of embedded curves in Calabi-Yau 3-folds*

I will describe my recent work, joint with Shaoyun Bai, which studies a class of bifurcations of moduli spaces of embedded pseudo-holomorphic curves in symplectic Calabi-Yau 3-folds and their associated obstruction bundles. As an application, we are able to give a direct definition of the Gopakumar-Vafa invariant in a special case.

**Ben Wormleighton (Washington University),** *Lattice formulas for rational SFT capacities of toric domains*

Siegel has recently defined ‘higher’ symplectic capacities using rational SFT that obstruct symplectic embeddings and behave well with respect to stabilisation. I will report on joint work with Julian Chaidez that relates these capacities to algebro-geometric invariants, which leads to computable, combinatorial formulas for many convex toric domains.

**Jonathan Zung (Princeton),** *Reeb flows transverse to foliations*

Eliashberg and Thurston showed that taut foliations on 3-manifolds can be approximated by tight contact structures. I will explain a new approach to this theorem which allows one to control the resulting Reeb flow and hence produce many hypertight contact structures. Along the way, I will explain how harmonic transverse measures may be used to understand the holonomy of foliations.

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Remote Access### Speakers

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Seminar website: http://www.math.tau.ac.il/~sarabt/zoominar/