Hausel Tamás (ISTA): Anatomy of big algebras

Starting with Schrödinger's critique of the difficulty of visualising Heisenberg's matrix quantum physics we will discuss the non-commutativity of matrices and their use in particle physics via Gell-Mann's eightfold way classifying heavy particles in terms of quarks. Then I will use this background to motivate my recent work on big algebras - commutative avatars of non-commutative matrix representations - and show some visualisation of them to highlight their complex anatomy, shedding some new light on the quantum numbers of the heavy particles in the baryon octet and decuplet.