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A 3-local characterization of Co2 

[OWP-2008-11] Parker, Christopher; Rowley, Peter (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-15)
Conway’s second largest simple group, $Co_2$, is characterized by the centralizer of an element of order 3 and certain fusion data.
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A note on k[z]-Automorphisms in Two Variables 

[OWP-2008-17] Edo, Eric; Essen, Arno van den; Maubach, Stefan (Mathematisches Forschungsinstitut Oberwolfach, 2008)
We prove that for a polynomial $f \in k[x, y, z]$ equivalent are: (1)$f$ is a $k[z]$-coordinate of $k[z][x,y]$, and (2) $k[x, y, z]/(f)\cong k^[2]$ and $f(x,y,a)$ is a coordinate in $k[x,y]$ for some $a \in k$. This solves ...
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Hecke duality relations of Jacobi forms 

[OWP-2008-03] Bringmann, Kathrin; Heim, Bernhard (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-07)
In this paper we introduce a new subspace of Jacobi forms of higher degree via certain relations among Fourier coefficients. We prove that this space can also be characterized by duality properties of certain distinguished ...
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Weyl-Titchmarsh Functions of Vector-Valued Sturm-Liouville Operators on the Unit Interval 

[OWP-2008-13] Chelkak, Dmitry; Korotyaev, Evgeny (Mathematisches Forschungsinstitut Oberwolfach, 2008)
The matrix-valued Weyl-Titchmarsh functions $M(\lambda)$ of vector-valued Sturm-Liouville operators on the unit interval with the Dirichlet boundary conditions are considered. The collection of the eigenvalues (i.e., poles ...
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A Characterization of Semisimple Plane Polynomial Automorphisms 

[OWP-2008-08] Maubach, Stefan; Furter, Jean-Philippe (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-12)
It is well-known that an element of the linear group $GL_n(\mathbb{C})$ is semisimple if and only if its conjugacy class is Zariski closed. The aim of this paper is to show that the same result holds for the group of complex ...
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The Nagata automorphism is shifted linearizable 

[OWP-2008-09] Maubach, Stefan; Poloni, Pierre-Marie (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-13)
A polynomial automorphism $F$ is called shifted linearizable if there exists a linear map $L$ such that $LF$ is linearizable. We prove that the Nagata automorphism $N:= (X-Y\Delta-Z\Delta^2,Y+Z\Delta,Z)$ where $\Delta=XZ+Y^2$ ...
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Urn Models & Operator Ordering Procedures 

[OWP-2008-06] Blasiak, Pawel (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-10)
Ordering of operators is purely combinatorial task involving a number of commutators shuffling components of operator expression to desired form. Here we show how it can be illustrated by simple urn models in which normal ...
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Formal punctured ribbons and two-dimensional local fields 

[OWP-2008-01] Kurke, Herbert; Osipov, Denis; Zheglov, Alexander (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-05)
We investigate formal ribbons on curves. Roughly speaking, formal ribbon is a family of locally linearly compact vector spaces on a curve. We establish a one-to-one correspondence between formal ribbons on curves plus some ...
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Quantities that frequency-dependent selection maximizes 

[OWP-2008-18] Matessi, Carlo; Schneider, Kristian (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-18)
We consider a model of frequency-dependent selection, to which we refer as the Wildcard Model, that accommodates as particular cases a number of diverse models of biologically specific situations. Two very different ...
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Nonlinear optimization over a Weighted Independence System 

[OWP-2008-10] Lee, Jon; Onn, Shmuel; Weismantel, Robert (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-14)
We consider the problem of optimizing a nonlinear objective function over a weighted independence system presented by a linear-optimization oracle. We provide a polynomial-time algorithm that determines an r-best solution ...
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