Previous Conferences & Workshops

We show that for every quadratic extension of number fields K/F, there exists an abelian variety A/F of positive rank whose rank does not grow upon base change to K. By work of Shlapentokh, this implies that Hilbert's tenth problem over the ring of...

I will start by a gentle introduction to operadic structures by drawing a parallel with classical associative structures. Then we will see how those structures can be applied to matroid theory via three examples: Chow rings, Orlik--Solomon algebras...

In the 1960's, Quillen found a remarkable relationship between a certain class of cohomology theories and the theory of formal groups. This discovery has had a profound impact on algebraic topology. In this talk, I'll give a brief exposition of...

TBA

We consider the space of configurations of n points in the three-sphere $S^3$, some of which may coincide and some of which may not, up to the free and transitive action of $SU(2)$ on $S^3$. We prove that the cohomology ring with rational...

Every braid can be thought of as a homeomorphism of a punctured disc. Morally, the more complicated a braid is, the more dynamics is contained in the corresponding homeomorphism, which one can quantify using topological entropy. In particular, one...

More than 120 years ago, Minkowski published a seminal paper that laid the foundation for the field of convex geometry (as well as several other areas of mathematics). Despite numerous advances in the intervening years, there are fundamental...

Positive selector processes are natural stochastic processes driven by sparse Bernoulli random variables. They play an important role in the study of suprema of general stochastic processes, and in particular, Talagrand posed the selector process...

Let X be a complex algebraic variety, and X à D a proper morphism to a small disk which is smooth away from the origin. In this setting, the higher direct images of the constant sheaf form a local system on the punctured disk, and the Local...