What is the "right" topological invariant of a large point
cloud XX? Prior research has focused on estimating the full
persistence diagram of XX, a quantity that is very expensive
to compute, unstable to outliers, and far from a sufficient
Histories of ancient cultures often present the image of clearly
recognizable peoples. Those who are centered in historical
canons—Egyptians, Greeks, Romans—are often subject to
the most longstanding and unyielding historical expectations. In
Conformal Field Theories (CFTs) have rich dynamics in heavy
states. We describe the constraints due to spontaneously broken
boost and dilatation symmetries in such states. The spontaneously
broken boost symmetries require the existence of new low...
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...
In this talk I will explain Auroux' definition of the Fukaya
category of a singular hypersurface and two results about this
definition, illustrated with some examples. The first result is
that Auroux' category is equivalent to the Fukaya-Seidel...
We will discuss emergent global symmetries, anomalies, and
dualities in various lattice models and their continuum field
theories. These include the ordinary XY model and some exotic
models related to fractons. We will find that many properties
For homogeneous affine Springer fibers (those
with GmGm symmetry), we realize them as Lagrangian cycles
inside ambient symplectic varieties, and make sense of microlocal
sheaves supported on these affine Springer fibers. We also propose