Previous Conferences & Workshops

The online list labeling problem is a basic primitive in data structures. The goal is to store a dynamically-changing set of n items in an array of m slots, while keeping the elements in sorted order. To do so, some items may need to be moved over...

Let $E$ be an elliptic curve defined over $\Q$.  The $\bar\Q$-points of $E$ form an abelian group on which the Galois group $G_{\Q} = \Gal(\bar\Q/\Q)$ acts.  The usual Galois representation associated to $E$ captures the action of $G_{\Q}$ on the...

The classic algorithm AdaBoost allows to convert a weak learner, that is an algorithm that produces a hypothesis which is slightly better than chance, into a strong learner, achieving arbitrarily high accuracy when given enough training data. We...

Diophantine approximation deals with quantitative and qualitative aspects of approximating numbers by rationals. A major breakthrough by Kleinbock and Margulis in 1998 was to study Diophantine approximations for manifolds using homogeneous dynamics...

Conformal blocks are objects of fundamental importance in the bootstrap approach for exact solvability of 2D conformal field theory (CFT).  In this talk, we will present novel probabilistic expressions for them using the Gaussian free field in lieu...

I will report on a series of joint works with Gehrmann, Guitart and Masdeu about a plectic generalization of Darmon's Stark-Heegner (SH) points. 

We constructed plectic SH points as p-adic points on elliptic curves and we expect them to control the...

Let G be a simply-connected complex semisimple algebraic group and let C be a smooth projective curve of any genus. Then, the moduli space of semistable G-bundles on C admits so called determinant line bundles. E. Verlinde conjectured a remarkable...

The mapping class group of a surface is a very important, but still mysterious group. Natural actions of the mapping class group appear on representation varieties of surface groups. In some cases, e.g. when this action preserves a metric, we know...

The Teukolsky equation is one of the fundamental equations governing linear gravitational perturbations of the Kerr black hole family as solutions to the vacuum Einstein equations. We show that solutions arising from suitably regular initial data...