Exact Results in Quantum Theory

The attempt to path integral quantize noncommutative geometries leads to the concept of random noncommutative geometry. Feasibility, on the other hand, restricts our first attempts to the finite-dimensional arena of "fuzzy geometries" (certain finite-dimensional spectral triples we will properly introduce). The purpose of this talk is to show how random fuzzy geometries lead to random multi-matrices. The results are based on arXiv:1912.13288, which also builds on work by Barrett-Glaser (J.Phys A. 49, 2016, arXiv:1510.01377). The link to join the meeting is: https://meet.google.com/rjk-swmw-hga