Past Events

Breathing is an interesting and essential life-sustaining behavior for humans and all mammals. Like many rhythmic motor behaviors, breathing movements originate due to neural rhythms that emanate from a central pattern generator (CPG) network. CPGs...

Consider the classical balls-and-bins setup: n balls are thrown independently and uniformly into n bins. The most loaded bin then has log n/log log n balls with high probability. What happens when instead of throwing balls completely by random, there...

The H^{-1}-norm appears naturally in many areas of science. For example it is used to express the electrostatic energy of a charge distribution. We study this norm on tubular neighbourhoods of curves, mainly motivated by its appearance in energy...

Schnyder showed in 1989 that every plane triangulation has a partition of its (inner) edges into 3 trees spanning all (inner) vertices. The so-called Schnyder woods are a powerful combinatorial structure with many applications: new planarity...

We consider regular geometric subdivisions. These combine the refinement of a regular lattice with a regular pattern of affine transformations applied to geometric data associated with the nodes of the lattice. Such subdivisions are used in computer...

A well known result of Clemens and Griffiths says that a smooth cubic threefold can be recovered from its intermediate Jacobian. In this talk I will discuss the possible degenerations of these abelian varieties, and thus give a description of the...

It has been known for over a century that there are many Riemannian metrics on the 2-sphere with the property that all of their geodesics are closed. Zoll, a student of Hilbert, constructed an infinite dimensional family of surfaces of rotation with...

Let a, a_0, a_1, ..., a_m be integers with a nonnegative, and define f_a(x) = sum_{j=0}^m a_j x^j / (j+a)!. Schur (in 1929) proved that f_0(x) with |a_0| = |a_n| = 1 is irreducible for all m. Schur's result has been generalized by many authors by...

I will give an expository talk about half integer weight modular forms. Definitions and basic properties of this space will be given. Then, the Shimura correspondence will be discussed. Roughly speaking, this associates to a modular form of half...