Past Events

TBA

In this talk, we will discuss how to improve the trivial upper bound on the clique number of Paley graphs and generalized Paley graphs using a different method. I will revisit the direction set determined by a Cartesian product in an affine Galois...

Going back to the foundation work of von Neuman there is a question of whether there are smooth models of the models of classical ergodic theory. When both measure and map are required to be smooth there is only one known obstruction but essentially...

For any \(r\geq 2\), an \(r\)-uniform hypergraph \(\mathcal{H}\), and integer \(n\), the Turán number for \(\mathcal{H}\) is the maximum number of hyperedges in any \(r\)-uniform hypergraph on \(n\) vertices containing no copy of \(\mathcal{H}\)...

For any $r\geq 2$, an $r$-uniform hypergraph $\mathcal{H}$, and integer $n$, the \emph{Tur\'{a}n number} for $\mathcal{H}$ is the maximum number of hyperedges in any $r$-uniform hypergraph on $n$ vertices containing no copy of $\mathcal{H}$. While...

Many systems exhibit a digit bias. For example, the first digit base 10 of the Fibonacci numbers or of 2^n equals 1 about 30% of the time; the IRS uses this digit bias to detect fraudulent corporate tax returns. This phenomenon, known as Benford's...

The first half of this talk will be a gentle introduction to the Erdős–Ko–Rado (EKR) Theorem. This is a theorem that determines the size and structure of the largest collection of intersecting sets. It has become a cornerstone of extremal set theory...

Abstract: A broad class of convex geometry problems deals with questions on retrieval of information about (convex) sets from data about different types of their projections, sections, or both. Examples of such assumptions are volume estimates...

Our speaker will be Monica Jinwoo Kang of Caltech . Her talk is titled " The Infinite HaPPY Code ". The talk is intended for both mathematics and physics audiences and is part of the PIMS CRG in Quantum Topology and its Applications . Abstract: I...

We'll show how a simple idea from probability theory on the recurrence of random walks can be used in many important dynamical and geometric situations, building on work of Eskin-Margulis and others. No prior knowledge of probability theory, random...