Browsing 2025 by Title

Now showing items 1-6 of 6

    • 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 ...

    • 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 ...

    • 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. ...

    • 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 ...

    • 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 ...