2022

 
 

2022

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    • Deciding Non-Freeness of Rational Möbius Groups 

      [OWP-2022-07] Detinko, Alla; Flannery, Dane; Hulpke, Alexander (Mathematisches Forschungsinstitut Oberwolfach, 2022-03-22)
      We explore a new computational approach to a classical problem: certifying non-freeness of (2-generator, parabolic) Möbius subgroups of SL(2, $\mathbb{Q}$). The main tools used are algorithms for Zariski dense groups and ...

    • Characterization of Tropical Planar Curves up to Genus Six 

      [OWP-2022-06] Tewari, Ayush Kumar (Mathematisches Forschungsinstitut Oberwolfach, 2022-03-16)
      We provide new forbidden criterion for realizability of smooth tropical plane curves. This in turn provides us a complete classification of smooth tropical plane curves up to genus six.

    • Local and Global Canonical Forms for Differential-Algebraic Equations with Symmetries 

      [OWP-2022-05] Kunkel, Peter; Mehrmann, Volker (Mathematisches Forschungsinstitut Oberwolfach, 2022-02-21)
      Linear time-varying differential-algebraic equations with symmetries are studied. The structures that we address are self-adjoint and skew-adjoint systems. Local and global canonical forms under congruence are presented ...

    • Aeppli-Bott-Chern-Massey Products, Bigraded Notions of Formality, and Non-Zero Degree Maps 

      [OWP-2022-04] Milivojević, Aleksandar; Stelzig, Jonas (Mathematisches Forschungsinstitut Oberwolfach, 2022-02-15)
      We introduce and study notions of bigraded formality for the algebra of forms on a complex manifold, along with their relation to higher Aeppli-Bott-Chern-Massey products which extend, in an augmented setting, the case of ...

    • Some Homological Properties of Borel Type Ideals 

      [OWP-2022-03] Herzog, Jürgen; Moradi, Somayeh; Rahimbeigi, Masoomeh; Zhu, Guangjun (Mathematisches Forschungsinstitut Oberwolfach, 2022-02-01)
      We study ideals of Borel type, including $k$-Borel ideals and $t$-spread Veronese ideals. We determine their free resolutions and their homological shift ideals. The multiplicity and the analytic spread of equigenerated ...

    • Trivial Source Character Tables of SL2(q) 

      [OWP-2022-02] Böhmler, Bernhard; Farrell, Niamh; Lassueur, Caroline (Mathematisches Forschungsinstitut Oberwolfach, 2022-01-28)
      We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups SL(2,q) over a large enough field of positive characteristic $\ell$ via ...

    • Applications of Nijenhuis Geometry III: Frobenius Pencils and Compatible Non-Homogeneous Poisson Structures 

      [OWP-2022-01] Bolsinov, Alexey V.; Konyaev, Andrey Yu.; Matveev, Vladimir S. (Mathematisches Forschungsinstitut Oberwolfach, 2022-01-20)
      We consider multicomponent local Poisson structures of the form $\mathcal P_3 + \mathcal P_1$, under the assumption that the third order term $\mathcal P_3$ is Darboux-Poisson and non-degenerate, and study the Poisson ...