Browsing 2017 by MFO Scientific Program "Research in Pairs 2015"
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Abstract Bivariant Cuntz Semigroups
[OWP-2017-04] (Mathematisches Forschungsinstitut Oberwolfach, 2017-02-13)We show that abstract Cuntz semigroups form a closed symmetric monoidal category. Thus, given Cuntz semigroups S and T, there is another Cuntz semigroup ((S,T)) playing the role of morphisms from S to T. Applied ... -
Counting Curves on Toric Surfaces Tropical Geometry & the Fock Space
[OWP-2017-18] (Mathematisches Forschungsinstitut Oberwolfach, 2017-07-17)We study the stationary descendant Gromov–Witten theory of toric surfaces by combining and extending a range of techniques – tropical curves, floor diagrams, and Fock spaces. A correspondence theorem is established between ... -
Linear Syzygies, Hyperbolic Coxeter Groups and Regularity
[OWP-2017-15] (Mathematisches Forschungsinstitut Oberwolfach, 2017-05-24)We build a new bridge between geometric group theory and commutative algebra by showing that the virtual cohomological dimension of a Coxeter group is essentially the regularity of the Stanley–Reisner ring of its nerve. ... -
On Unipotent Radicals of Pseudo-Reductive Groups
[OWP-2017-12] (Mathematisches Forschungsinstitut Oberwolfach, 2017-04-27)We establish some results on the structure of the geometric unipotent radicals of pseudo-reductive k-groups. In particular, let k′ be a purely inseparable field extension of k of degree pe and let G denote the ... -
On Vietoris-Rips Complexes of Ellipses
[OWP-2017-11] (Mathematisches Forschungsinstitut Oberwolfach, 2017-04-25)For X a metric space and r>0 a scale parameter, the Vietoris–Rips complex VR<(X;r) (resp. VR≤(X;r)) has X as its vertex set, and a finite subset σ⊆X as a simplex whenever the diameter of ...