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.
DNA rearrangement is observed at developmental and evolutionary
scale. The recombination process can be directly modeled by
4-regular graphs and Gauss codes, also called double occurrence
words. We discuss properties of these graphs, their spatial...
A dark matter candidate lighter than about 30 eV exhibits wave
behavior in a typical galactic environment. Examples include the
QCD axion as well as other axion-like-particles. We review the
particle physics motivations, and discuss experimental and...
Following Bourgain, Gamburd, and Sarnak, we say that the Markoff
equation x2+y2+z2−3xyz=0 satisfies strong approximation at a prime
p if its integral points surject onto its Fp points. In 2016,
Bourgain, Gamburd, and Sarnak were able to establish...
This is the last talk towards understanding
Bezrukavnikov-Finkelberg's derived geometric Satake equivalence.
With the preparations from previous talks, we will introduce two
filtrations: a topological filtration on the equivariant cohomology
and an...
