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 ...
We obtain a finiteness result for the fundamental group of a closed Riemannian manifold
$(M^n,g)$ under the assumption that the Schrödinger operator $\Delta_g+(n-2)/\rho$ is
positive (where at $x\in M...
Let G be a simple algebraic group with flag variety G/B. The Springer resolution is the
moment map from the cotangent bundle of G/B to the (dual of the) Lie algebra g of G. The
cohomology of the fiber...
