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.
Past Events
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…
I will give an update on recent progress in the study of Reeb dynamics on 3-dimensional contact manifolds: existence of nice Birkhoff sections, count of periodic orbits and Reeb chords, together with applications. This is joint work with Pierre Dehornoy, Umberto Hryniewicz and Ana Rechtman.
Some years ago, joint with Xu, we resolved the integral version of the Arnold conjecture. Expanding the ad hoc constructions used there, we have developed a package of integral Hamiltonian Floer theory and their mod p reduction, including defining quantum Steenrod…
Symplectically self-polar convex bodies arise in convex geometry and dynamical systems. In this talk I will discuss these two perspectives.
On the convex-geometric side, Mahler’s conjecture on the volume product of a centrally symmetric convex body and its Euclidean polar is equivalent to…
I will describe a new constraint on the topology of smooth Lefschetz fibrations with 4-dimensional fibers, arising from Seiberg--Witten theory. I will explain how it yields smooth isotopy obstructions for products of Dehn twists on self-intersection -2 spheres in 4-manifolds. As an application,…