Browsing 2025 by Issue Date

Now showing items 1-7 of 7

    • 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 ...

    • Convex Polytopes and Linear Programs 

      [SNAP-2025-002-EN] Joswig, Michael (Mathematisches Forschungsinstitut Oberwolfach, 2025-04-01)
      Convex polytopes are geometric objects that look deceptively simple. They occur everywhere in mathematics and have practical applications in everyday life – like organizing your grocery shopping list. In this snapshot, you ...

    • Five Ways to Spell ADE 

      [SNAP-2025-003-EN] Kaufman, Dani (Mathematisches Forschungsinstitut Oberwolfach, 2025-07-30)
      The solutions to a surprising number of mathematical questions can be classified by the ADE Coxeter–Dynkin diagrams. This snapshot will show you a selection of these questions and how they correspond to the ADE Coxeter–Dynkin ...

    • The Five Platonic Solids and their Connection to Root Systems 

      [SNAP-2025-004-EN] Böhm, Sören (Mathematisches Forschungsinstitut Oberwolfach, 2025-09-05)
      Platonic solids have fascinated humans for thousands of years. In ancient times, they were associated with the elements fire, air, water, earth, and aether. These solids are completely symmetrical three-dimensional polyhedra. ...

    • 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 ...

    • Brauer's Problems: 60 Years of Legacy 

      [SNAP-2025-006-EN] Rizo, Noelia; Schaeffer Fry, Mandi A. (Mathematisches Forschungsinstitut Oberwolfach, 2025-11-24)
      Richard Brauer (1901-1977) was a German-American mathematician who is regarded as the founder of a highly active mathematical area known as modular representation theory. This area grew from group theory, which can be ...

    • Brackets, Trees and the Borromean Rings 

      [SNAP-2025-007-EN] Jasso, Gustavo (Mathematisches Forschungsinstitut Oberwolfach, 2025-12-08)
      We describe some of the beautiful mathematical structures that arise from the study of the associativity equation. Our journey takes us from combinatorics to abstract algebra, with brief excursions through geometry and ...