Browsing 2024 by Title

Now showing items 5-10 of 10

    • Ky Fan Theorem for Sphere Bundles 

      [OWP-2024-03] Panina, Gaiane; Živaljević, Rade (Mathematisches Forschungsinstitut Oberwolfach, 2024-04-05)
      The classic Ky Fan theorem is a combinatorial equivalent of Borsuk-Ulam theorem. It is a generalization and extension of Tucker’s lemma and, just like its predecessor, it pinpoints important properties of antipodal colorings ...

    • Local Existence and Conditional Regularity for the Navier-Stokes-Fourier System Driven by Inhomogeneous Boundary Conditions 

      [OWP-2024-10] Abbatiello, Anna; Basarić, Danica; Chaudhuri, Nilasis; Feireisl, Eduard (Mathematisches Forschungsinstitut Oberwolfach, 2024-09-25)
      We consider the Navier–Stokes–Fourier system with general inhomogeneous Dirichlet–Neumann boundary conditions. We propose a new approach to the local well-posedness problem based on conditional regularity estimates. By ...

    • On Dykstra’s Algorithm with Bregman Projections 

      [OWP-2024-04] Pinto, Pedro; Pischke, Nicholas (Mathematisches Forschungsinstitut Oberwolfach, 2024-04-16)
      We provide quantitative results on the asymptotic behavior of Dykstra’s algorithm with Bregman projections, a combination of the well-known Dykstra’s algorithm and the method of cyclic Bregman projections, designed to find ...

    • On Overgroups of Distinguished Unipotent Elements in Reductive Groups and Finite Groups of Lie Type 

      [OWP-2024-05] Bate, Michael; Böhm, Sören; Martin, Benjamin; Röhrle, Gerhard (Mathematisches Forschungsinstitut Oberwolfach, 2024-06-18)
      Suppose G is a simple algebraic group defined over an algebraically closed field of good characteristic p. In 2018 Korhonen showed that if H is a connected reductive subgroup of G which contains a distinguished unipotent ...

    • Proof Mining and the Convex Feasibility Problem : the Curious Case of Dykstra's Algorithm 

      [OWP-2024-06] Pinto, Pedro (Mathematisches Forschungsinstitut Oberwolfach, 2024-07-15)
      In a recent proof mining application, the proof-theoretical analysis of Dykstra's cyclic projections algorithm resulted in quantitative information expressed via primitive recursive functionals in the sense of Gödel. This ...

    • The Subgroup Structure of Pseudo-Reductive Groups 

      [OWP-2024-08] Bate, Michael; Martin, Benjamin; Röhrle, Gerhard; Sercombe, Damian (Mathematisches Forschungsinstitut Oberwolfach, 2024-07-31)
      Let $k$ be a field. We investigate the relationship between subgroups of a pseudo-reductive $k$-group $G$ and its maximal reductive quotient $G'$, with applications to the subgroup structure of $G$. Let $k'/k$ be the minimal ...