Persistence modules and barcodes are used in symplectic topology
to define new invariants of Hamiltonian diffeomorphisms, however
methods that explicitly calculate these barcodes are often unclear.
In this talk I will define one such invariant...
The ellipsoidal embedding function of a symplectic four manifold
M measures how much the symplectic form on M must be dilated in
order for it to admit an embedded ellipsoid of some eccentricity.
It generalizes the Gromov width and ball packing...
The spectral norm provides a lower bound to the Hofer norm. It
is thus natural to ask whether the diameter of the spectral norm is
finite or not. During this short talk, I will give a sketch of the
proof that, in the case of Liouville domains, the...
I will explain how to construct the Ruelle invariant of a
symplectic cocycle over an arbitrary measure preserving flow. I
will provide examples and computations in the case of Hamiltonian
flows and Reeb flows (in particular, for toric domains). As...
Relative symplectic cohomology is a Floer theoretic invariant
associated with compact subsets K of a closed or geometrically
bounded symplectic manifold M. The motivation for studying it is
that it is often possible to reduce the study of global...
Gromov-Witten invariants for a general target are
rational-valued but not necessarily integer-valued. This is due to
the contribution of curves with nontrivial automorphism groups. In
1997 Fukaya and Ono proposed a new method in symplectic
geometry...
Homeomorphism is called contact if it can be written as C0-limit
of contactomorphisms. The contact version of Eliashberg-Gromov
rigidity theorem states that smooth contact homeomorphisms preserve
contact structure. Submanifold L of a contact...
In this talk, I will state a conjecture giving a formula for the
Lagrangian capacity of a convex or concave toric domain. First, I
will explain a proof of the conjecture in the case where the toric
domain is convex and 4-dimensional, using the Gutt...
We show that Viterbo‘s conjecture (for the EHZ-capacity) for
convex Lagrangian products in ℝ4 holds for all Lagrangian products
(any trapezoid in ℝ2) x (any convex body in ℝ2). Moreover, we
classify all equality cases of Viterbo’s conjecture within...
