Symplectic Geometry
Organizers: Mohammed Abouzaid, Eleny Ionel, 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.
Upcoming Events
In this talk we will prove that there are precisely two embedded exact Lagrangian fillings of the standard Legendrian Hopf link, up to compactly supported Hamiltonian isotopy. It was known that the standard Legendrian Hopf link admitted at least two such Lagrangian fillings: we show these are…
Past Events
Higher-dimensional Heegaard Floer homology (HDHF) is defined by extending Lipshitz's cylindrical reformulation of Heegaard Floer homology from surfaces to arbitrary Liouville domains. The HDHF also serves as a model for Lagrangian Floer homology of symmetric products.In this talk, I will present…
Abstract: Much is known about algebraic K theory of the integers, in particular these groups are finitely generated. There is a secondary (or categorified) K theory of a commutative ring k, replacing finite type k modules by "finite type" A_infty categories over k. I explain how to get elements…
Abstract: Symmetric products of Riemann surfaces play a crucial role in symplectic geometry and low-dimensional topology. They are key to defining Heegaard Floer homology and serve as important examples of Liouville manifolds when the surfaces are open. In this talk, I will present ongoing work…
In this talk I will introduce a new notion of approximability for metric spaces that can be seen as a categorification of a concept introduced by Turing for metric groups and as a generalization of total-boundedness. I will explain how recent technological advances in symplectic topology…
I will give an overview of the current state of the arborealization program for polarized Weinstein manifolds, including of current work in progress and of remaining work needed to complete the foundations of the theory. Joint with Y. Eliashberg and D. Nadler.
Physical dynamical systems amount to placing vector fields on manifolds. Important examples are noncanonical Hamiltonian systems, i.e., where the manifold is a Poisson manifold and the vector field is generated by a Hamiltonian function and a degenerate Poisson bracket. Physical systems…
Both statistical phase space (SPS), T*R^{3N} of N -body particle system and kinetic theory phase space (KTPS), and the cotangent bundle T*P(Γ) of the probability space P(Γ) thereon, carry canonical symplectic structures. Starting from this first principle, we provide a canonical derivation of…
I consider questions in the intersection of symplectic geometry, convex geometry and billiards. I give a new characterization of a ball in terms of Hamiltonian and outer billiard dynamics. I also consider questions about periodic billiard orbits and give a proof for some cases of Ivrii’s…
In this talk, I will present some new results about skeleta of complete intersections inside (C*)^n. I will start by briefly reviewing the Batyrev-Borisov mirror construction, which uses combinatorial dualities between lattice polytopes to produce mirror pairs of Calabi-Yau complete…
A totally skew embedding of a manifold in Euclidean space is an example of an embedding with extra regularity conditions. For totally skew embeddings, we require the tangent spaces at all distinct points on the manifold to be pairwise skew. I will give a brief history of this problem, discuss…