Browsing 1 - Oberwolfach Preprints (OWP) by MFO Scientific Program "OWLF 2023"

Now showing items 1-4 of 4

    • Arm Exponent for the Gaussian Free Field on Metric Graphs in Intermediate Dimensions 

      [OWP-2024-01] Drewitz, Alexander; Prévost, Alexis; Rodriguez, Pierre-François (Mathematisches Forschungsinstitut Oberwolfach, 2024-01-08)
      We investigate the bond percolation model on transient weighted graphs ${G}$ induced by the excursion sets of the Gaussian free field on the corresponding metric graph. We assume that balls in ${G}$ have polynomial volume ...

    • The Brown Complex in Non-Defining Characteristic and Applications 

      [OWP-2023-14] Rossi, Damiano (Mathematisches Forschungsinstitut Oberwolfach, 2023-07-25)
      We study the Brown complex associated to the poset of $\ell$-subgroups in the case of a finite reductive group defined over a field $\mathbb{F}_q$ of characteristic prime to $\ell$. First, under suitable hypotheses, we ...

    • The Character Triple Conjecture for Maximal Defect Characters and the Prime 2 

      [OWP-2023-15] Rossi, Damiano (Mathematisches Forschungsinstitut Oberwolfach, 2023-08-22)
      We prove that Späth’s Character Triple Conjecture holds for every finite group with respect to maximal defect characters at the prime 2. This is done by reducing the maximal defect case of the conjecture to the so-called ...

    • The Simplicial Complex of Brauer Pairs of a Finite Reductive Group 

      [OWP-2023-12] Rossi, Damiano (Mathematisches Forschungsinstitut Oberwolfach, 2023-07-17)
      In this paper we study the simplicial complex induced by the poset of Brauer pairs ordered by inclusion for the family of finite reductive groups. In the defining characteristic case the homotopy type of this simplicial ...