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...
I will discuss the construction of continuous solutions to the
incompressible Euler equations that exhibit local dissipation of
energy and the surrounding motivations. A significant open
question, which represents a strong form of the Onsager...
Joint work with Luc Hillairet (Orléans) and Emmanuel Trélat
(Paris). A 3D closed manifold with a contact distribution and a
metric on it carries a canonical contact form. The associated Reeb
flow plays a central role for the asymptotics of the...
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
class...
In modern representation theory we often study the category of
modules over an algebra, in particular its intrinsic and
combinatorial structures. Vice versa one can ask the question:
which categories have a given combinatorics? This is the
basic...
