This talk introduces a directed analog of the
classical Laplacian matrix and discusses algorithms for
solving certain problems related to them. Of particular interest is
that using such algorithms, one can compute the stationary
distribution of a...
I will survey results related to graph comparison; graph
comparison is a certain type of restriction on a metric spaces
which is encoded by a given graph.
A few months ago, a group of theoretical computer scientists
posted a paper on the Arxiv with the strange-looking title "MIP* =
RE", impacting and surprising not only complexity theory but also
some areas of math and physics. Specifically, it...
We present spherically symmetric solutions to Einstein’s
equations, which are equivalent to canonical Schwarzschild and
Reissner-Nordstrom black holes on the exterior, but with singular
(Planck-density) shells at their respective event and inner...
I will survey results related to graph comparison; graph
comparison is a certain type of restriction on a metric spaces
which is encoded by a given graph.
A few months ago, a group of theoretical computer scientists
posted a paper on the Arxiv with the strange-looking title "MIP* =
RE", impacting and surprising not only complexity theory but also
some areas of math and physics. Specifically, it...
A subgraph of an edge-coloured graph is called rainbow if all
its edges have distinct colours. The study of rainbow
subgraphs goes back to the work of Euler on Latin squares in the
18th century. Since then rainbow structures were the focus
of...
I will explain the notion of twisted generating function and
show that a closed exact Lagrangian submanifold LL in the
cotangent bundle of MM admits such a thing. The type of
function arising in our construction is related to Waldhausen's
tube space...
Star formation takes place in the densest and coldest parts of
the interstellar medium (ISM), in dark molecular clouds. These are
swept up by multiple supernova explosions on scales of several
hundred parsec. While condensing out of the warm ISM...
I will discuss some new results on the structure of Selmer
groups of finite Galois modules over global fields. Tate's
definition of the Cassels-Tate pairing can be extended to a pairing
on such Selmer groups with little adjustment, and many of
the...
