K3 surfaces have a rich geometry and admit interesting
holomorphic automorphisms. As examples of Calabi-Yau manifolds,
they admit Ricci-flat Kähler metrics, and a lot of attention
has been devoted to how these metrics degenerate as the Kähler
Given a family of Lagrangian tori with full quantum corrections,
the non-archimedean SYZ mirror construction uses the family Floer
theory to construct a non-archimedean analytic space with a global
superpotential. In this talk, we will first briefly...
Differential delay equations arise very naturally, but they are
much more complicated than ordinary differential equations.
Polyfold theory, originally developed for the study of moduli
spaces of pseudoholomorphic curves, can help to understand...
A central problem in low-dimensional topology asks which
homology 3-spheres bound contractible 4-manifolds and homology
4-balls. In this talk, we address this problem for plumbed
3-manifolds and we present the classical and new results
The h-principle for the simplification of caustics (i.e.
Lagrangian tangencies) reduces a geometric problem to a homotopical
problem. In this talk I will explain the solution to this
homotopical problem in the case of spheres. More precisely, I
I will discuss joint work with Olga Plamenevskaya studying
symplectic fillings of links of certain complex surface
singularities, and comparing symplectic fillings with complex
smoothings. We develop characterizations of the symplectic
In this talk, we will discuss the Chiu-Tamarkin complex. It is a
symplectic/contact invariant that comes from the microlocal sheaf
theory. I will explain how to define some capacities using the
Chiu-Tamarkin complex in both symplectic and contact...
In this talk we will discuss invariants of sutured Legendrians.
A sutured contact manifold can be seen as either generalizing the
contactisation of a Liouville domain, or as a presentation of a
contact manifold with convex boundary. Using the first...