Previous Conferences & Workshops
Universality for random matrices beyond mean field models
The goal of this talk is to explain universality for random band
matrices, for band width comparable to the matrix size. Patching of
quantum unique ergodicity on successive blocks plays a key role in
proving random matrix statistics for such non...
Slowly converging pseudo-Anosovs
Mark Bell
A classical property of pseudo-Anosov mapping classes is that
they act on the space of projective measured laminations with
north-south dynamics. This means that under iteration of such a
mapping class, laminations converge exponentially quickly...
The Resolution proof system
The Resolution proof system is perhaps the simplest and most
universally used in verification system and automated theorem
proving. It was introduced by Davis and Putnam in 1960. The study
of its efficiency, both in terms of proof length of natural...
Stable homotopy theory and Floer theory
Thomas Kragh
In this talk I will define and explain some basic notions from
stable homotopy theory, and illustrate how it relates to (and
refines) the notion of Floer homology in some simple cases. I will
also discuss what extra kind of information this...
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...
