Previous Conferences & Workshops
Representation Theory & Categorification
In modern representation theory we often study the category of
modules over an algebra, in particular its intrinsic and
combinatorial structures. Vice versa one can ask the question:
which categories have a given combinatorics? This is the
basic...
Representation Theory & Combinatorics of the Symmetric Group and Related Structures
Monica Vazirani
With an eye toward coordinating with the advanced course, we
will start with the representation theory of the symmetric group
and related combinatorics. We will focus on the functors of
induction and restriction. We will then consider related...
The Schrodinger equations as inspiration of beautiful mathematics
In the last two decades great progress has been made in the
study of dispersive and wave equations. Over the years the toolbox
used in order to attack highly nontrivial problems related to these
equations has developed to include a collection of...
Representation Theory & Categorification
In modern representation theory we often study the category of
modules over an algebra, in particular its intrinsic and
combinatorial structures. Vice versa one can ask the question:
which categories have a given combinatorics? This is the
basic...
Representation Theory & Combinatorics of the Symmetric Group and Related Structures
Monica Vazirani
With an eye toward coordinating with the advanced course, we
will start with the representation theory of the symmetric group
and related combinatorics. We will focus on the functors of
induction and restriction. We will then consider related...
Eigenfunction concentration via geodesic beams
A vast array of physical phenomena, ranging from the propagation
of waves to the location of quantum particles, is dictated by the
behavior of Laplace eigenfunctions. Because of this, it is crucial
to understand how various measures of eigenfunction...
Caustics of Lagrangian homotopy spheres with stably trivial Gauss map
The h-principle for the simplification of caustics (i.e.
Lagrangian tangencies) reduces a geometric problem to a homotopical
problem. In this talk I will explain the solution to this
homotopical problem in the case of spheres. More precisely, I
will...
I will discuss recent work with Harald Helfgott in which we
establish roughly speaking that the graph connecting $n$ to $n \pm
p$ with $p$ a prime dividing $n$ is almost "locally Ramanujan". As
a result we obtain improvements of results of Tao and...
