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    • On Wall-Crossing Invariant Combinations of Welschinger Numbers for Rational Surfaces with a Conic Bundle 

      [OWP-2026-06] Finashin, Sergey; Kharlamov, Viatcheslav (Mathematisches Forschungsinstitut Oberwolfach, 2026-09)
      We refine the real enumerative invariants insensitive to changes in the real structure introduced in our previous paper on del Pezzo surfaces, and extend these refined invariants to arbitrary rational surfaces. The ...
    • Locally Conformally Flat Manifolds with Positive Scalar Curvature: Kleinian Groups, Moduli Spaces, and Euclidean Rigidity 

      [OWP-2026-05] Deng, Jialong (Mathematisches Forschungsinstitut Oberwolfach, 2026-09)
      We study locally conformally flat (LCF) Riemannian manifolds with nonnegative or positive scalar curvature (PSC), using the conformal boundary of the developing image. For closed oriented LCF $n$-manifolds with PSC and ...
    • Spherical Subgroups in Reductive Algebraic Groups 

      [OWP-2026-03] Knop, Friedrich; Röhrle, Gerhard (Mathematisches Forschungsinstitut Oberwolfach, 2026-07)
      In [KR15], we determined all spherical affine homogeneous varieties for simple algebraic groups in arbitrary characteristic. The present paper extends this classification to semisimple groups. This generalizes work done ...
    • Transverse Foliations for Two-Degree-of-Freedom Mechanical Systems 

      [OWP-2026-02] de Paulo, Naiara V.; Kim, Seongchan; Salomão, Pedro A. S.; Schneider, Alexsandro (Mathematisches Forschungsinstitut Oberwolfach, 2026-03)
      We investigate the dynamics of a two-degree-of-freedom mechanical system for energies slightly above a critical value. The critical set of the potential function is assumed to contain a finite number of saddle points. As ...
    • On Constructing Small Subgraphs in the Budget-Constrained Random Graph Process 

      [OWP-2026-01] Antoniuk, Sylwia; Espuny Díaz, Alberto; Petrova, Kalina; Stojaković, Miloš (Mathematisches Forschungsinstitut Oberwolfach, 2026-02)
      Consider the budget-constrained random graph process introduced by Frieze, Krivelevich and Michaeli, where each time an edge is offered through the (standard) random graph process we must irrevocably decide whether to ...