The group of Hamiltonian diffeomorphisms of a symplectic
manifold admits a remarkable bi-invariant metric, called
Hofer’s metric. My talk will be about a recent joint work
with Dan Cristofaro-Gardiner and Vincent Humilière resolving
I will explain the notion of twisted generating function and
show that a closed exact Lagrangian submanifold LL in the
cotangent bundle of MM admits such a thing. The type of
function arising in our construction is related to Waldhausen's
Gross and Siebert have recently proposed an "intrinsic"
programme for studying mirror symmetry. In this talk, we will
discuss a symplectic interpretation of some of their ideas in the
setting of affine log Calabi-Yau varieties. Namely, we
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,?)(M,?) 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 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...