• Is there a smooth lattice polytope which does not have the integer decomposition property? 

      [SNAP-2025-008-EN] Hofscheier, Johannes; Kasprzyk, Alexander (Mathematisches Forschungsinstitut Oberwolfach, 2025-12-16)
      We introduce Tadao Oda's famous question on lattice polytopes which was originally posed at Oberwolfach in 1997 and, although simple to state, has remained unanswered. The question is motivated by a discussion of the ...
    • Trisections of four-dimensional spaces 

      [SNAP-2025-005-EN] Blackwell, Sarah (Mathematisches Forschungsinstitut Oberwolfach, 2025-09-19)
      This snapshot introduces the theory of trisections of smooth 4-manifolds, an area of exploration in low-dimensional topology aiming to make four-dimensional spaces more understandable. Along the way, we discuss the concepts ...
    • Truncated fusion rules for supergroups 

      [SNAP-2025-001-EN] Heidersdorf, Thorsten (Mathematisches Forschungsinstitut Oberwolfach, 2025-02-03)
      In the '70s, physicists introduced a new type of symmetry – supersymmetry – to address some unresolved issues in particle physics models. Its mathematical foundations involve the representation theory of the associated ...
    • Why oscillation counts: Diophantine approximation, geometry, and the Fourier transform 

      [SNAP-2025-009-EN] Srivastava, Rajula (Mathematisches Forschungsinstitut Oberwolfach, 2025-12-16)
      Is it possible to approximate arbitrary points in space by vectors with rational coordinates, with which we, and computers, feel much more comfortable? If yes, can we approximate those points arbitrarily close? In this ...