• Some Combinatorial Identities Related to Commuting Varieties and Hilbert Schemes 

      [OWP-2011-02] Bellamy, Gwyn; Ginzburg, Victor (Mathematisches Forschungsinstitut Oberwolfach, 2011)
      In this article we explore some of the combinatorial consequences of recent results relating the isospectral commuting variety and the Hilbert scheme of points in the plane.
    • Steinberg groups for Jordan pairs 

      [OWP-2011-29] Loos, Ottmar; Neher, Erhard (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-26)
      We introduce categories of groups with commutator relations with respect to root groups and Weyl elements, permuting the root groups. This allows us to view the classical Steinberg groups, for example the Steinberg group ...
    • The T-Graph of a Multigraded Hilbert Scheme 

      [OWP-2011-34] Hering, Milena; Maclagan, Diane (Mathematisches Forschungsinstitut Oberwolfach, 2011)
      The $T$-graph of a multigraded Hilbert scheme records the zero and one-dimensional orbits of the $T=(K^*)^n$ action on the Hilbert scheme induced from the $T$-action on $\mathbb{A}^n$. It has vertices the $T$-fixed points, ...
    • Upper bounds for the number of solutions to quartic thue equations 

      [OWP-2011-21] Akhtari, Shabnam (Mathematisches Forschungsinstitut Oberwolfach, 2011)
      We will give upper bounds for the number of integral solutions to quartic Thue equations. Our main tool here is a logarithmic curve $\phi(x,y)$ that allows us to use the theory of linear forms in logarithms. This manuscript ...
    • The Weyl group of the Cuntz algebra 

      [OWP-2011-31] Conti, Roberto; Hong, Jeong Hee; Szymański, Wojciech (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-28)
      The Weyl group of the Cuntz algebra $\mathcal{O}_n$ is investigated. This is (isomorphic to) the group of polynomial automorphisms $\lambda_u$ of $\mathcal{O}_n$, namely those induced by unitaries u that can be written ...