In this talk, we present a new method to solve algorithmic and
combinatorial problems by (1) reducing them to bounding the
maximum, over x in {-1, 1}^n, of homogeneous degree-q multilinear
polynomials, and then (2) bounding the maximum value...
In the late 1800s, in the course of his study of classical
problems of number theory, the young Hermann Minkowski discovered
the importance of a new kind of geometric object that we now call a
convex set. He soon developed a rich theory for...
The satisfiability problem for Constraint Satisfaction Problems
(CSPs) asks whether an instance of a CSP has a fully satisfying
assignment, i.e., an assignment that satisfies all constraints.
This problem is known to be in class P or is NP-complete...
We explore the construction of non-Weinstein Liouville geometric
objects based on Anosov 3-flows, introduced by Mitsumatsu, in the
generalized framework of Liouville Interpolation Systems and
non-singular partially hyperbolic flows. We discuss the...
Equivariant cohomology was introduced in the 1960s by Borel, and
has been studied by many mathematicians since that time. The
talks will be an introduction to some of this work. We will
focus on torus-equivariant cohomology (as well as
Borel-Moore...
The reverse Khovanskii-Teissier inequality is a three term
inequality for nef divisors which first appeared in the context of
Kähler geometry. It provides an upper bound on a product of two
divisors in terms of products with the third, hence its...
Equivariant cohomology was introduced in the 1960s by Borel, and
has been studied by many mathematicians since that time. The
talks will be an introduction to some of this work. We will
focus on torus-equivariant cohomology (as well as
Borel-Moore...
Extremal eigenvalues of graphs are of particular interest in
theoretical computer science and combinatorics. Specifically, the
spectral gap—the difference between the largest and second-largest
eigenvalues—measures the expansion properties of a...
This talk is about the study of the Boltzmann equation in the
diffusive limit in a channel domain 𝕋2×(−1,1) nearby the 3D kinetic
Couette flow. We will begin the talk with a substantial
introduction for non-experts. Our result demonstrates
that...
The growth of an autonomous Hamiltonian flow in Hofer's metric
is not yet well understood. A result of Polterovich and Rosen shows
that generically this growth is asymptotically linear, and in all
known cases where it is not, it appears to be...
