Past Events

Despite extensive research, it is not known whether Oort's conjecture about the existence of supersingular curves is true or false. In the first part of the talk, I will describe supersingular curves and discuss the status of Oort's conjecture (both...

Algebraic graph theory begins by associating a matrix to a graph and asking how the eigenvalues of the former relate to the structure of the latter. In the past fifteen or so years, horizons have broadened to include variants of graphs (such as...

Given a strongly local Dirichlet form on a metric measure space that satisfies Gaussian heat kernel bounds, we show that the martingale dimension of the associated diffusion process coincides with Cheeger's analytic dimension of the underlying metric...

In this talk, I will present a roadmap for deriving minimal necessary conditions for diffusion-driven instability for a 3-component reaction-diffusion system with linear cross-diffusion. For the reaction kinetics, we postulate and formulate a new 3...

We consider the model in which uniform random points are added to the unit interval at a constant intensity and independently vanish each at rate 1. The stationary distribution is a Poisson point process. Our goal is to investigate the time until an...

Deuring-Heilbronnn phenomenon, quantitatively established by Linnik in 1944, describes how the existence of a Landau-Siegel zero, which is real and near s=1, affects the location of the rest of the zeros of the Dirichlet L-functions to the same...

$L_\infty$ algebras, i.e. Lie algebras up to homotopy coherent homotopy, appear in a variety of contexts, including string theory and deformation theory. Over the last several decades, the outlines of a Lie theory for such objects has appeared in...

While the etale cohomology of Z/p-local systems on smooth p-adic rigid spaces is in general hard to control, it becomes more tractable when the spaces are proper. For example, in the proper case it is finite-dimensional and has recently been shown in...

In function approximation, it is standard to assume the availability of an orthonormal basis for computations, ensuring that numerical errors are negligible. However, this assumption is often unmet in practice. For instance, multivariate...

A bijection f of a metric space is "distance-permuting" if the distance from f(x) to f(y) depends only on the distance from x to y. For example, it it is known that every distance-permuting bijection of the real line is the composition of an isometry...