Reiko Toriumi: Characteristic polynomials for tensors via Grassmann integrals and distributions of roots of random tensors

mercredi 3 déc. 2025, 14:00 → 15:00 Europe/Paris

I will introduce a new notion of characteristic polynomials for tensors via Grassmann integrals and distributions of roots of random tensors. As anticipated, the Fuss-Catalan distribution appears. Some important points of our work are that there are only N roots for tensors of dimension N, and that our formulation covers general tensors (complex, real, Grassmann, etc) including totally antisymmetric tensors, but excluding totally symmetric tensors. It is based on arXiv:2510.04068[math-ph].