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...
Abstract: Anyons are quantum particles with statistics intermediate between bosons and fermions, arising in less than 3 dimensions. There are two possible approaches: one uses multi-valued wave functi...
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 ...