Starting from a contact manifold and a supporting open book
decomposition, an explicit construction by Bourgeois provides a
contact structure in the product of the original manifold with the
two-torus. In this talk, we will discuss recent results...
Schur polynomials are the characters of finite-dimensional
irreducible representations of the general linear group. We will
discuss both continuous and discrete concavity property of Schur
polynomials. There will be one theorem and eight conjectures...
A sunflower with $r$ petals is a collection of $r$ sets so that
the intersection of each pair is equal to the intersection of all.
Erdos and Rado in 1960 proved the sunflower lemma: for any fixed
$r$, any family of sets of size $w$, with at least...