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
The ECH capacities are a collection of invariants of symplectic 4-manifolds, defined using Hutchings' theory of embedded contact homology. While these capacities have many applications to symplectic embeddings of convex domains, they remain poorly understood for more complicated symplectic…
Past Events
A symplectophagy is a symplectic isotopy satisfying certain constraints reminiscent of the symplectic camel problem. In this talk, I will introduce this notion and basic examples, and present a new phenomenon of symplectic rigidity in the form of obstructions to the existence of…
I will explain how Gromov-Witten theory can be used to prove the symplectic irrationality of certain projective hypersurfaces, including some work in progress with Andrew Harder and Sukjoo Lee. If time permits, I will try to explain the rather technical proof of the decomposition…
Abstract: We present a proof of the Arnold-Givental conjecture on the number of intersection points between the fixed-point set of an anti-symplectic involution and its transverse Hamiltonian image. Our argument combines the methods of integral Floer theory, a reduction to Hamiltonian Floer…
A remarkable discovery in modern symplectic topology is that the group of
Hamiltonian diffeomorphisms carries a bi-invariant Finsler metric with non-degenerate
distance function, known as the Hofer metric. The question about the uniqueness of Hofer’s metric, originally posed by Yakov…
In this talk, I will discuss forthcoming joint work with Alex Zupan introducing the notion of a derivative link in contact topology. Given an algebraically slice knot, a derivative link is a basis for a metabolizing subspace of the Seifert form. We provide several…
Teleman conjectured that the mirror of a Hamiltonian action on a symplectic manifold is a holomorphic fibration. In this talk, I will explain this from the perspective of equivariant Lagrangian Floer theory and correspondence for symplectic quotients. Moreover, we propose a …
In this talk, I will discuss the growth rate of Reeb orbits with respect to their period on certain contact manifolds. We focus on fiberwise star-shaped hypersurfaces in the cotangent bundle of a closed manifold. I will explain how a topological condition on the base manifold implies that the…
In this talk, I will give a brief overview of the p-adic theory of differential equations and its application to quantum differential equations arising in enumerative geometry. This perspective reveals similarities with mirror symmetry, manifested through p-adic exponential sums. I will…
I am going to explain why Lipschitz Regular analytic sets ( in other words Analytic Sets, which are Lipschitz manifolds of $\C^n$ ) are smooth. The theorem is closely related with a metric version of Zariski Multiplicity conjecture. I am going to give an overview of some new results,…
Abstract: For a graded Liouville domain X, its symplectic cohomology (normally defined over the integers) can be lifted to a module over the complex cobordism ring using Floer homotopy theory. I'll discuss some computational aspects in the rational case, using Chern classes on Floer moduli…