One of the earliest fundamental applications of Lagrangian Floer
theory is detecting the non-displaceablity of a Lagrangian
submanifold. Many progress and generalisations have been made since
then but little is known when the Lagrangian submanifold...
The purpose of this talk is to explore how Lagrangian Floer
homology groups change under (non-Hamiltonian) symplectic isotopies
on a (negatively) monotone symplectic
manifold (M,ω)(M,ω) satisfying a strong non-degeneracy
condition. More precisely...
Is every dynamically convex contact form on the three sphere
convex? In this talk I will explain why the answer to this question
is no. The strategy is to derive a lower bound on the Ruelle
invariant of convex contact forms and construct dynamically...
In this talk I will present my work initiating the study of
the C0C0 symplectic mapping class group, i.e. the group
of isotopy classes of symplectic homeomorphisms, and briefly
present the proofs of the first results regarding the topology of
the...
The talk will focus on the question of whether existing
symplectic methods can distinguish pseudo-rotations from rotations
(i.e., elements of Hamiltonian circle actions). For the projective
plane, in many instances, but not always, the answer is...
Symplectic implosion was developed to solve the problem that the
symplectic cross-section of a Hamiltonian K-space is usually not
symplectic, when K is a compact Lie group. The symplectic implosion
is a stratified symplectic space, introduced in a...
I will explain the construction of a functor from the exact
symplectic cobordism category to a totally ordered set, which
measures the complexity of the contact structure. Those invariants
are derived from a bi-Lie infinity formalism of the rational...
Triangulated categories play an important role in symplectic
topology. The aim of this talk is to explain how to combine
triangulated structures with persistence module theory in a
geometrically meaningful way. The guiding principle comes from
the...
Let X be a compact symplectic manifold, and D a normal crossings
symplectic divisor in X. We give a criterion under which the
quantum cohomology of X is the cohomology of a natural deformation
of the symplectic cochain complex of X \ D. The...
