Gaiotto introduced the notion of a conformal limit of a Higgs bundle and conjectured that these should identify the Hitchin component with the Oper stratum in the deRham moduli space. In the case of c...
I will compare work of Formanek on a certain construction of central polynomials with that of Collins on integration on unitary groups. These two quite disjoint topics share the construction of the sa...
To any polarized variety (X,L) is associated a section ring R. I will explain the relation between suitable classes of norms on R and functions on the Berkovich analytification of X. Time permitting, ...
I will try to explain and motivate the notion of Lefschetz (exceptional) collections in derived categories of coherent sheaves and their residual categories and, in particular, its conjectura relation...
We make a universal construction of Bruhat-Tits group scheme on wonderful embeddings of adjoint groups in the absolute and relative settings of adjoint Kac-Moody groups. These group schemes have natur...
In the first part of this talk I will give an update on the connection between perfect ideals of codimension 3 and Schubert varieties of exceptional groups (and more generally opposite Schubert variet...
Let G be a connected algebraic group and X a variety endowed with a regular action of G and a Mori fibre space X/P^1 whose fibre is a Fano variety of Picard rank at least 2. In this talk I will explai...
The coordinate ring of the Grassmannian has the structure of a cluster algebra. On the other side, the category of maximal CM modules over a certain infinite dimensional algebra is a cluster category ...
Sia G un gruppo algebrico semplice definito sui complessi e sia K un sottogruppo riduttivo di G, chiuso nella topologia di Zariski. La varietà omogenea G/K è detta senza molteplicità se ogni component...
Campana proposed a series of conjectures relating algebro-geometric and complex-analytic properties of algebraic varieties and their arithmetic. The main ingredient is the definition of the class of s...
Yamabe flow is an intrinsic geometric flow that deforms the metric of a Riemannian manifold. If the flow converges, it deforms the metric to a metric of constant scalar curvature with the sign dependi...
Riemannian Manifolds with holonomy G_2 are interesting both for geometers and for theoretical physicists. I will give a short introduction into the basics of G_2-geometry. I will then introduce the Cr...
