Previous Conferences & Workshops
An introduction to the abc conjecture
Héctor Pastén Vásquez
In this talk I will discuss some classical and new applications
of the abc conjecture, its relation to conjectures about elliptic
curves, and some (admittedly weak) unconditional partial
results.
Polynomial-time tensor decompositions via sum-of-squares
Tengyu Ma
Tensor decompositions have been the key algorithmic components
in provable learning of a wide range of hidden variable models such
as topic models, Gaussian mixture models, independent component
analysis, dictionary learning. Despite its success...
Counting closed orbits of Anosov flows in free homotopy classes
This is joint work with Thomas Barthelme of Penn State
University. There are Anosov and pseudo-Anosov flows so that some
orbits are freely homotopic to infinitely many other orbits. An
Anosov flow is $R$-covered if either the stable or unstable...
Weyl groups, and their generalizations, in enumerative geometry III
These lectures will be about enumerative K-theory of curves (and
more general 1-dimensional sheaves) in algebraic threefolds. In the
first lecture, we will set up the enumerative problem and survey
what we know and what we conjecture about it. In...
p-adic numbers in cryptography and data compression
The $p$-adic numbers are finally entering the realm of
engineering. I will give several examples of how they arise in
applications.
Weyl groups, and their generalizations, in enumerative geometry II
These lectures will be about enumerative K-theory of curves (and
more general 1-dimensional sheaves) in algebraic threefolds. In the
first lecture, we will set up the enumerative problem and survey
what we know and what we conjecture about it. In...
Local eigenvalue statistics for random regular graphs
I will discuss results on local eigenvalue statistics for
uniform random regular graphs. For graphs whose degrees grow slowly
with the number of vertices, we prove that the local semicircle law
holds at the optimal scale, and that the bulk...
Weyl groups, and their generalizations, in enumerative geometry I
These lectures will be about enumerative K-theory of curves (and
more general 1-dimensional sheaves) in algebraic threefolds. In the
first lecture, we will set up the enumerative problem and survey
what we know and what we conjecture about it. In...
Topology of the set of singularities of viscosity solutions of the Hamilton-Jacobi equation
We will mainly report on the progress done recently the
connectedness properties of the set of non-differentiable points of
viscosity solutions of the Hamilton-Jacobi equation. To make the
lecture accessible to people with no previous knowledge in...
Proof complexity - an introduction
Proof systems pervade all areas of mathematics (often in
disguise: e.g. Reidemeister moves is a sound and complete proof
system for proving the equivalence of knots given by their
diagrams). Proof complexity seeks to to understand the
minimal...
