In the recent breakthrough on the uniform Mordell-Lang problem
by Dimitrov-Gao-Habegger and Kuhne, their key result is a uniform
Bogomolov type of theorem for curves over number fields. In this
talk, we introduce a refinement and generalization of...
An exceptionally gifted mathematician and an extremely complex
person, Floer exhibited, as one friend put it, a "radical
individuality." He viewed the world around him with a singularly
critical way of thinking and a quintessential disregard for...
While by a result of McDuff the space of symplectic embeddings
of a closed 4-ball into an open 4-ball is connected, the situation
for embeddings of cubes C4=D2×D2 is very different. For
instance, for the open ball B4 of capacity 1, there exists
an...
Eliashberg and Thurston showed that taut foliations on
3-manifolds can be approximated by tight contact structures. I will
explain a new approach to this theorem which allows one to control
the resulting Reeb flow and hence produce many hypertight...
Siegel has recently defined ‘higher’ symplectic
capacities using rational SFT that obstruct symplectic embeddings
and behave well with respect to stabilisation. I will report on
joint work with Julian Chaidez that relates these capacities to
algebro...
I will describe my recent work, joint with Shaoyun Bai, which
studies a class of bifurcations of moduli spaces of embedded
pseudo-holomorphic curves in symplectic Calabi-Yau 3-folds and
their associated obstruction bundles. As an application, we
are...
Tensors occur throughout mathematics. Their rank, defined in
analogy with matrix rank, is however much more poorly understood,
both from a structural and algorithmic viewpoints.
This will be an introductory talk to some of the basic
issues...
