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
that...
A Near Eastern Studies and Digital Scholarship Conversations
@IAS Joint Lecture
Speakers: Verena Klemm (Institute of Arabic Studies,
University of Leipzig, Germany) Stefanie Brinkmann (Sächsische Akademie der
Wissenschaften zu Leipzig) Boris...
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
a...
In this talk, we will discuss some joint work with Alexandru
Ionescu on the nonlinear inviscid damping near point vortex and
monotone shear flows in a finite channel. We will put these results
in the context of long time behavior of 2d Euler...
Many data analysis pipelines are adaptive: the choice of which
analysis to run next depends on the outcome of previous analyses.
Common examples include variable selection for regression problems
and hyper-parameter optimization in large-scale...
We define a quantum product on the cohomology of a symplectic
manifold relative to a Lagrangian submanifold, with coefficients in
a Novikov ring. The associativity of this product is equivalent to
an open version of the WDVV equations for an...
