The classification of tuples of matrices up to simultaneous conjugation is a classical problem…
Future and Ongoing Seminars
Let $F$ be a family of finite groups closed under taking subgroups, quotients and finite direct…
How much does the universal enveloping algebra of a Lie algebra remember about the Lie algebra…
Past Seminars
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 geometry
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…
In this talk I will shortly present a recent result from our team.
From Geometry to Algebra and back: geometric structures and representations of the fundamental group
A geometric structure is a local modeling of a manifold M on a specified space X with prescribed…
In Donagi-Pantev's programme to deduce geometric Langlands from its abelianised version, wobbly…