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...
ecently, Oguiso addressed the following question, attributed to Gizatullin: “Which
automorphisms of a smooth quartic K3 surface $D\subset\mathbb{P}^3$ are induced by
Cremona transformations of the amb...
A polynomial functor P is a functor from the category of finite-dimensional vector spaces to itself such that for every U,V the map Hom(U,V) -> Hom(P(U),P(V)) is polynomial. In characteristic zero,...
This is joint work with Peter Feller. In any category there are the following fundamental
problems concerning embeddings from an object Z into another object X:
1. (Existence) Does there exist an embe...
As shown by Gromov-Lawson and Stolz the only obstruction to the existence of positive scalar curvature metrics on closed simply connected manifolds in dimensions at least five appears on spin manifold...
The aim of this talk is to give an update on recent achievements and developments on rigid compact complex manifolds. I will start introducing different notions of rigidity and explaining the relation...
