Browsing 2021 by MFO Scientific Program "Research in Pairs 2020"

Now showing items 1-3 of 3

    • Boundary Conditions for Scalar Curvature 

      [OWP-2021-01] Bär, Christian; Hanke, Bernhard (Mathematisches Forschungsinstitut Oberwolfach, 2021-01-04)
      Based on the Atiyah-Patodi-Singer index formula, we construct an obstruction to positive scalar curvature metrics with mean convex boundaries on spin manifolds of infinite $K$-area. We also characterize the extremal case. ...

    • Diophantine Approximation in Metric Space 

      [OWP-2021-07] Fraser, Jonathan M.; Koivusalo, Henna; Ramírez, Felipe A. (Mathematisches Forschungsinstitut Oberwolfach, 2021-06-14)
      Diophantine approximation is traditionally the study of how well real numbers are approximated by rationals. We propose a model for studying Diophantine approximation in an arbitrary totally bounded metric space where the ...

    • On the Computational Content of the Theory of Borel Equivalence Relations 

      [OWP-2021-06] Bazhenov, Nikolay; Monin, Benoit; San Mauro, Luca; Zamora, Rafael (Mathematisches Forschungsinstitut Oberwolfach, 2021-03-17)
      This preprint offers computational insights into the theory of Borel equivalence relations. Specifically, we classify equivalence relations on the Cantor space up to computable reductions, i.e., reductions induced by Turing ...