Let \o be an order in a totally real field, say F. Let K be an
odd-degree totally real field. Let S be a finite set of places of
K. We study S-integral K-points on integral models H_\o of Hilbert
modular varieties because not only do said varieties...
I will present the first results of the survey of all white
dwarfs (WD) that were observed in the Hobby-Eberly Telescope Dark
Energy Experiment (HETDEX) using the Visible Integral-field
Replicable Unit Spectrograph (VIRUS). The final outcome will
be...
This talk will be an exposition of a recent paper of
Bezrukavnikov-Gaitsgory-Mirkovic-Riche-Rider giving an
Iwahori-Whittaker model for the Satake category. The main point is
that their argument works for modular coefficients. I will give
some...
A sofic approximation to a countable discrete group is a
sequence of finite models for the group that generalizes the
concept of a Folner sequence witnessing amenability of a group and
the concept of a sequence of quotients witnessing residual...
The modular representation theory of a finite group naturally
breaks into different pieces called blocks, and the defect of a
block is a sort of measure of its complexity. I will recall some
basic aspects of this theory, and then give the complete...
In this talk, I will give the 2020 summary of the 6.5 meter
James Webb Space Telescope (JWST), the near--mid-IR sequel to both
Hubble and Spitzer. All hardware has been built, and is in the
final stages of testing for its launch scheduled in October...
A fascinating feature of some gapped systems is topological
order, where the system flows to a nontrivial TQFT in the infrared.
The gap is often essential to the description of these phases, so
it is interesting to ask what happens to them when the...
Motivated by some work of Thurston on defining a Teichmuller
theory based on best Lipschitz maps between surfaces, we study
infinity-harmonic maps from a manifold to a circle. The best
Lipschitz constant is taken on on a geodesic lamination...
There are striking analogies between topology and arithmetic
algebraic geometry, which studies the behavior of solutions to
polynomial equations in arithmetic rings. One expression of these
analogies is through the theory of etale cohomology, which...
Suppose we have a cancellative binary associative operation * on
a finite set X. We say that it is delta-associative if the
proportion of triples x, y, z such that x*(y*z) = (x*y)*z is at
least delta.
