Seminars

A self-similar group is a group $G$ acting on the Cayley graph of a finitely generated free…

Free profinite semigroups are completions of free semigroups, and for that reason their elements…

The ubiquitous plactic monoid, also known as the monoid of Young tableaux, has deep connections…

The aim of this talk is to explain how model theory can be fruitfully applied to the study of…

Two groups are called commensurable if they have isomorphic subgroups of finite index.

Hitchin's connection, originally constructed using techniques of Kähler geometry, is a flat…

We will emphasize how to approach dynamical systems from a probabilistic perspective (or…

Consider the moduli space $\mathcal{M}(G)$ of $G$-Higgs bundles on a compact Riemann surface $X…

A numerical semigroup is just a subset of the nonnegative…

A discrete statistical model is a subset of a probability simplex. Its maximum likelihood…

In this talk, we will explore some of the possible connections between (abstract) simplicial…

Let $X$ be a smooth complex projective curve and let $x\in X$ be a point. We compute the…

While it is well known that the moduli space of $G$-bundles over a smooth projective curve is…

We explain how deformations of a parabolic bundle ξ are given by the vector…

Program:

With $G=GL(n,\mathbb{C})$, let $\mathcal{X}_{\Gamma}G$ be the $G$-character variety of a given…

Hyperpolygons spaces are a family of (finite dimensional, non-compact) hyperkähler spaces, that…

Geodesic completeness for Pseudo-Riemannian manifolds: A dynamical approach for problems in…

The idea of using geometric objects to represent subgroups of the free
group goes back to…

Mathematics was developed as a strong research instrument with fully verifiable argumentations…