Following a program proposed by Gromov, we study metric
singularities of positive scalar curvature of codimension two and
three. In addition, we describe a comparison theorem for positive
scalar curvature that is captured by polyhedra. Part of this...
These two talks will introduce the asymptotic rank and asymptotic
subrank of tensors and graphs - notions that are key to
understanding basic questions in several fields including algebraic
complexity theory, information theory and combinatorics.
Semitoric systems are a type of 4-dimensional integrable system
which has been classified by Pelayo-Vu Ngoc in terms of five
invariants, one of which is a family of polygons generalizing the
Delzant polygons which classify 4-dimensional toric...
In this talk I will survey recent advances on the existence theory
of minimal hypersurfaces from the variational point of view. I will
discuss what we know, what we do not know and point to future
directions. This is based on joint works with Andre...
We discuss interactions between quantum mechanics and symplectic
topology including a link between symplectic displacement energy, a
fundamental notion of symplectic dynamics, and the quantum speed
limit, a universal constraint on the speed of...
