Upcoming Events
Abstract: In general, the classification of finitely generated subgroups of a given group is intractable. Restricting to two-generator subgroups in a geometric setting is an exception. For example, a two-generator subgroup of a right-angled Artin group is either free or free abelian. Jaco and…
Abstract: The compressible Euler equation can lead to the emergence of shock discontinuities in finite time, notably observed behind supersonic planes. A very natural way to justify these singularities involves studying solutions as inviscid limits of Navier-Stokes solutions with evanescent…
Given a smoothly bounded domain in three dimensions, we may consider the curl operator acting on divergence free vector fields tangent to the domain's boundary. It turns out that one only needs to impose a finite-dimensional set of additional boundary conditions to obtain a self-adjoint operator…
Abstract: We will discuss cancellation of the Liouville function in almost all short intervals, and the Fourier uniformity conjecture.
Entire critical points of the abelian Higgs functional are known to blow down to generalized minimal submanifolds (of codimension 2). In this talk we prove an Allard type large-scale regularity result for the zero set of solutions. In the "multiplicity one" regime, we show the uniqueness of blow…
The seemingly magical ability of a spinning top to stay upright fascinated people for many thousands of years and in many civilizations. Clay spinning tops dated to about 6,000 years ago were excavated in Iraq. And for all these millenia another similarly counterintuitive…
This will be the third Student Analysis talk on kinetic theory, the seminar theme for the first half of Autumn 2024. Detailed abstract to come.
We shall explain how to generalize theorems of Polya and Andre in both a qualitative and (more importantly) quantitative way. As a consequence of our methods, we prove new irrationality results, including various products of logarithms as well as the Dirichlet L-value L(2,chi_{-3}). This is (…