Symplectic Geometry
Organizers: Eleny Ionel, Mohammed Abouzaid, and Jae Hee Lee
There is tea prior to the talk in the 4th floor lounge.
The Northern California Symplectic Geometry Seminar usually meets on the first Monday of each month, and alternates between Stanford and Berkeley.
Past Events
In this talk, we will discuss the interplay between the wrapped Floer homology barcode and topological entropy. The concept of barcode entropy was introduced by Çineli, Ginzburg, and Gürel and has been shown to be related to the topological entropy of the underlying dynamical system in various…
Abstract: We will present some recent results on the existence of special structures on compactnon Kahler manifolds obtained as quotients of Cn ⋉ Cm. More in particular, we will focus on p-Kahler structures and on symplectic structures satisfying the hard Lefschetz condition. Bott-Chern and…
Abstract: I will discuss the asymptotic growth of autonomous Hamiltonian flows with respect to the Hofer metric. This includes a dichotomy on the two-sphere: the Hofer norm either grows linearly or remains bounded in time by a universal constant. I will also touch on some connections to dynamics…
We develop the theory of spectral networks in real contact and symplectic topology. Motivated by the WKB spectral network construction, we introduce the real symplectic analogue of the WKB spectral network, called the Morse spectral network. We then establish results on the existence and…
Recent works of Honda-Huang and Eliashberg-Pancholi established that any closed hypersurface in a contact manifold can be approximated by convex hypersurfaces in the C0-topology. In this talk, I will discuss some work in progress on an approach to enhancing this result to the C1-topology. The…
Just as Heegaard-Floer (HF) theory is about Fukaya categories for symmetric product of Riemann surfaces, HF theory with coefficient is about Fukaya categories of horizontal Hilbert scheme (possibly with fiberwise superpotential). This is used to give a symplectic realization of…
To a symplectic algebraic variety or stack, we should be able to associate a 3d A-model and B-model, which are equivalent to the B-model and A-model associated to some dual space. Boundary conditions for these are expected to form 2-categories whose objects are holomorphic Lagrangian…
Transversality does not play well with symmetry as symmetric objects are typically not in "general position". As a result, one may not be able to achieve transversality on orbifolds. This feature is often accompanied with another feature of orbifolds: Poincar\'e duality only holds over rational…
In this talk, based on a joint work with Erman Cineli and Basak Gurel, we discuss the multiplicity problem for prime closed orbits of dynamically convex Reeb flows on the boundary of a star-shaped domain. The first of our two main results asserts that such a flow has at least n prime closed Reeb…
The ellipsoid embedding function generalizes symplectic ball packing problems. For a symplectic manifold, this function determines the minimum scaling factor required for a standard ellipsoid with a given eccentricity to embed symplectically into the manifold. If the function has infinitely many…