Past Events

Topic: Approximation and Our Intellectual History Abstract: Philosophers and mathematicians are lovers of truth—exact truth; in many ways, this accounts for our interwoven histories. But this is a tragic love, constantly frustrated by the elusiveness...

In this talk we see how representation theory can be used in numerical methods for partial differential equations (PDEs) and how numerics can give more efficient methods for computational problems in representation theory. In particular, we will see...

I shall start with reminders on congruences and p-adic numbers, then give Hasse's contribution to the local-global principle. I shall then mention counterexamples to the "Hasse principle" and then describe various ways which have been devised to...

The Laplacian matrix L of a signed graph G may or may not be invertible. We present an entrywise combinatorial formula for the Moore-Penrose inverse of L, obtained by deriving a combinatorial expression for the Moore-Penrose inverse of an incidence...

Let $K$ be an algebraic number field. The Primitive Element Theorem implies that the number field $K$ can be generated over the field of rational numbers by a single element of $K$. We call such an element a generator of $K$. A simple and natural...

Join us for a the first colloquium with Professor Curtis McMullen, Fields Medalist and professor of mathematics at Harvard University. In this talk, titled "The Question Mark Function, Welding, and Complex Dynamics," Prof. McMullen will explore a...

We will discuss a class of ideals in a polynomial ring studied by Mark Haiman in his work on the Hilbert scheme of points and discuss how they are related to homology of affine Springer fibers, Khovanov-Rozansky homology of links, and to the ORS...

We will discuss a class of ideals in a polynomial ring studied by Mark Haiman in his work on the Hilbert scheme of points and discuss how they are related to homology of affine Springer fibers, Khovanov-Rozansky homology of links, and to the ORS...

We examine the behavior of a function sampled from the invariant measure asso- ciated to the focusing discrete Non Linear Schrodinger equation, defined on a discrete torus of dimension d≥3, and nonlinearity parameter p > 4, in the infinite volume...

A number is called a "period" if it can be expressed as the volume of a region in Euclidean space, defined by polynomial inequalities with rational coefficients. Many famous constants, such as π, log(2) and special values of the Riemann zeta function...