2025

 
 

2025

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    • Parabolic Normalizers in Finite Coxeter Groups as Subdirect Products 

      [OWP-2025-10] Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Mathematisches Forschungsinstitut Oberwolfach, 2025-09)
      We revisit the structure of the normalizer $N_W(P)$ of a parabolic subgroup $P$ in a finite Coxeter group $W$, originally described by Howlett. Building on Howlett's Lemma, which provides canonical complements for reflection ...

    • Renormalisation of Singular SPDEs with Correlated Coefficients 

      [OWP-2025-09] Clozeau, Nicolas; Singh, Harprit (Mathematisches Forschungsinstitut Oberwolfach, 2025-09)
      We show local well-posedness of the g-PAM and the $\phi^{K+1}_2$-equation for $K\geq 1$ on the two-dimensional torus when the coefficient field is random and correlated to the driving noise. In the setting considered here, ...

    • On Angular Momentum Algebras and their Relations 

      [OWP-2025-08] Calvert, Kieran; de Martino, Marcelo; Oste, Roy (Mathematisches Forschungsinstitut Oberwolfach, 2025-08)
      In this paper, we study the centraliser of $\mathfrak{osp}(1|2)$, denoted the total angular momentum algebra (TAMA), in the Weyl Clifford algebra. The TAMA extends the angular momentum algebra (AMA), which arises as the ...

    • Renormalised Models for Variable Coefficient Singular SPDEs 

      [OWP-2025-07] Broux, Lucas; Singh, Harprit; Steele, Rhys (Mathematisches Forschungsinstitut Oberwolfach, 2025-07)
      In this work we prove convergence of renormalised models in the framework of regularity structures [Hai14] for a wide class of variable coefficient singular SPDEs in their full subcritical regimes. In particular, we provide ...

    • Generalized Bose-Einstein Condensation in the Kac-Luttinger Model 

      [OWP-2025-06] Boccato, Chiara; Kerner, Joachim; Pechmann, Maximilian; Spitzer, Wolfgang (Mathematisches Forschungsinstitut Oberwolfach, 2025-07)
      In this article, we prove generalized Bose–Einstein condensation (BEC) at zero temperature in the random Kac–Luttinger model for repulsive two-particle interactions that are scaled suitably in the limit of large volume. ...

    • Spectral Regularity and Defects for the Kohmoto Model 

      [OWP-2025-05] Beckus, Siegfried; Bellissard, Jean; Thomas, Yannik (Mathematisches Forschungsinstitut Oberwolfach, 2025-04)
      We study the Kohmoto model including Sturmian Hamiltonians and the associated Kohmoto butterfly. We prove spectral estimates for the operators using Farey numbers. In addition, we determine the impurities at rational ...

    • When Alcoved Polytopes Add 

      [OWP-2025-04] Early, Nick; Kühne, Lukas; Monin, Leonid (Mathematisches Forschungsinstitut Oberwolfach, 2025-04)
      Alcoved polytopes are characterized by the property that all facet normal directions are parallel to the roots $e_i-e_j$. Unlike other prominent families of polytopes, like generalized permutahedra, alcoved polytopes are ...

    • Quadratically Enriched Plane Curve Counting via Tropical Geometry 

      [OWP-2025-03] Jaramillo Puentes, Andrés; Markwig, Hannah; Pauli, Sabrina; Röhrle, Felix (Mathematisches Forschungsinstitut Oberwolfach, 2025-02)
      We prove that the quadratically enriched count of rational curves in a smooth toric del Pezzo surface passing through $k$-rational points and pairs of conjugate points in quadratic field extensions $k\subset k(\sqrt{d_i})$ ...

    • Domain-Scaled Regular Variation: Mathematical Foundations for a New Tail Process 

      [OWP-2025-02] Strokorb, Kirstin; Oesting, Marco; De Fondeville, Raphaël (Mathematisches Forschungsinstitut Oberwolfach, 2025-02)
      Threshold exceedances of stochastic processes in space and time often appear to be more localized the more extreme they are. While classical regularly varying stochastic processes cannot model this effect, we introduce an ...

    • On the Complexity of Epimorphism Testing with Virtually Abelian Targets 

      [OWP-2025-01] Elder, Murray; Shen, Jerry; Weiss, Armin (Mathematisches Forschungsinstitut Oberwolfach, 2025-01)
      Friedl and Löh (2021, Confl. Math.) prove that testing whether or not there is an epimorphism from a finitely presented group to the direct product of an abelian and a finite group, or to a virtually cyclic group, is ...