Seminars Sorted by Series

The celebrated Brunn-Minkowski inequality states that for compact subsets $X$ and $Y$ of $\Bbb{R}^d$, $m(X+Y)^{1/d} \geq m(X)^{1/d}+m(Y)^{1/d}$ where $m(\cdot)$ is the Lebesgue measure. We will introduce a conjecture generalizing this inequality to...

A 1948 theorem of de Bruijn and Erdős says that if $n$ points in a projective plane do not lie all on a line, then they determine at least n lines. More generally, Dowling and Wilson conjectured in 1974 that for any finite set of vectors spanning a...

Most of the visible matter in the Universe is a plasma, that is a dilute gas of ions, electrons, and neutral atoms. In many circumstances, the dynamics of this plasma can be modeled in the continuum limit, using the equations of fluid mechanics...

A few months ago, a group of theoretical computer scientists posted a paper on the Arxiv with the strange-looking title "MIP* = RE", impacting and surprising not only complexity theory but also some areas of math and physics. Specifically, it...

New types of symmetries have been considered in algebra and algebraic geometry and a higher analog of representation theory has been developed to answer questions of classical representation theory. Geometric representation theory can be viewed as...

I revisit the basic statistical problem of estimating the mean of a real-valued distribution. I will introduce an estimator with the guarantee that "our estimator, on *any* distribution, is as accurate as the sample mean is for the Gaussian...