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...
Supported by new observational capabilities, some of our basic
concepts in Milky Way research have changed over the last several
years. Our growing appreciation of the central bar of the Milky
Way, the radial migration of stars, the Galactic thick...
Sums of Dirichlet
characters ∑n≤xχ(n)∑n≤xχ(n) (where χχ is a
character modulo some prime rr, say) are one of the best
studied objects in analytic number theory. Their size is the
subject of numerous results and conjectures, such as the
Pólya...
Perverse sheaves and intersection cohomology are central objects
in geometric representation theory. This talk is about their
long-lost K-theoretic cousins, called K-motives. We will discuss
definitions and basic properties of K-motives and explore...
