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A McKay Correspondence for Reflection Groups

[OWP-2018-14] Buchweitz, Ragnar-Olaf; Faber, Eleonore; Ingalls, Colin (Mathematisches Forschungsinstitut Oberwolfach, 2018-07-02)

We construct a noncommutative desingularization of the discriminant of a finite reflection group

$G$ as a quotient of the skew group ring

$A=S*G$ . If

$G$ is generated by order two reflections, then this quotient identifies ...

On the Gauss Algebra of Toric Algebras

[OWP-2018-07] Herzog, Jürgen; Jafari, Raheleh; Nasrollah Nejad, Abbas (Mathematisches Forschungsinstitut Oberwolfach, 2018-04-25)

Let

$A$ be a

$K$ -subalgebra of the polynomial ring

$S=K[x_1,\ldots,x_d]$ of dimension

$d$ , generated by finitely many monomials of degree

$r$ . Then the Gauss algebra

$\mathbb{G}(A)$ of

$A$ is generated by monomials of ...

Metric Connections with Parallel Skew-Symmetric Torsion

[OWP-2018-16] Cleyton, Richard; Moroianu, Andrei; Semmelmann, Uwe (Mathematisches Forschungsinstitut Oberwolfach, 2018-07-16)

A geometry with parallel skew-symmetric torsion is a Riemannian manifold carrying a metric connection with parallel skew-symmetric torsion. Besides the trivial case of the Levi-Civita connection, geometries with non-vanishing ...

Exceptional Legendrian Torus Knots

[OWP-2018-04] Geiges, Hansjörg; Onaran, Sinem (Mathematisches Forschungsinstitut Oberwolfach, 2018-03-21)

We present classification results for exceptional Legendrian realisations of torus knots. These are the first results of that kind for non-trivial topological knot types. Enumeration results of Ding-Li-Zhang concerning ...

Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary

[OWP-2018-06] Gaudiello, Antonio; Mel'nyk, Taras A. (Mathematisches Forschungsinstitut Oberwolfach, 2018-04-16)

We consider a domain

$\Omega_\varepsilon\subset\mathbb{R}^N$ ,

$N\geq2$ , with a very rough boundary depending on~

$\varepsilon$ . For instance, if

$N=3$ the domain

$\Omega_\varepsilon$ has the form of a brush with an ...

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A McKay Correspondence for Reflection Groups

On the Gauss Algebra of Toric Algebras

Metric Connections with Parallel Skew-Symmetric Torsion

Exceptional Legendrian Torus Knots

Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary

An Optimal Bound for the Ratio Between Ordinary and Uniform Exponents of Diophantine Approximation

Affine Space Fibrations

Demailly’s Notion of Algebraic Hyperbolicity: Geometricity, Boundedness, Moduli of Maps

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A McKay Correspondence for Reflection Groups

On the Gauss Algebra of Toric Algebras

Metric Connections with Parallel Skew-Symmetric Torsion

Exceptional Legendrian Torus Knots

Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary

An Optimal Bound for the Ratio Between Ordinary and Uniform Exponents of Diophantine Approximation

Affine Space Fibrations

Demailly’s Notion of Algebraic Hyperbolicity: Geometricity, Boundedness, Moduli of Maps