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...
