Previous Conferences & Workshops

Let $\alpha$ be an automorphism of a totally disconnected locally compact group $G$. There is a canonical form for $\alpha$ that partially fills the role played by the Jordan canonical form of $\mathrm{ad}( \alpha )$ in the case when $G$ is a Lie...

Let $G$ be a graph with maximum degree $\Delta$ whose vertex set is partitioned into $r$ parts $V(G)=V_1 \cup \ldots \cup V_r$. An independent transversal is an independent set in $G$ which contains exactly one vertex from each $V_i$. The problem of...

A Hamilton cycle in a graph G is a cycle passing through all vertices of G. Hamiltonicity is one of the most central and appealing notions in Graph Theory, with a variety of known conditions and approaches to show the existence of a Hamilton cycle...

I will explain a very intriguing connection between low dimensional topology, knot invariants, and quantum computation: It turns out that in some well defined sense, quantum computation is _equivalent_ to certain approximations of the Jones...

We will talk about a proof of Manin's conjecture on the asymptotic density of rational points of bounded height for the special case of a compactification of a semisimple algebraic group defined over a number field. The main tool is the mixing...

Studying the covolume of lattices goes back to the work of Siegel in the forties where he shows that $(2,3,7)$-triangular group is a lattice of minimum covolume in $G = \mathrm{SL}_2(\mathbb R)$. The case of $\mathrm{SL}_2(\mathbb C)$ has been open...

The main purpose of the talk is to describe an approach for the estimate of averages over orbits of certain functions on the space of lattices. These estimates play a crucial role in the study of the distribution of values at integral points of...