The SISSA seminar series "Probability, Statistical Mechanics and Quantum Fields" will be held during the trimester. See here for further information and Zoom access.
Invitation to Random Tensor Models: from random geometry to enumeration of tensor invariants
Reiko Toriumi (Okinawa Institute of Science and Technology)
Abstract: I will introduce random tensor models by first reviewing their motivation coming from random geometric approach to quantum gravity. I will also give some survey on the current topics around random tensors. Then, I will present recent results on enumeration of graphs representing tensor invariants based on arXiv:2404.16404[hep-th].
Time and location: Monday 5 October, 14:00-16:00, Room 133
Dynamics and spectrum in the semiclassical limit for non-self-adjoint operators
Alix Deleporte (Laboratoire de Mathématiques d'Orsay, Université Paris-Saclay)
Abstract: One of the early achievements of microlocal and semiclassical analysis was the asymptotic description, in a large frequency / small parameter case, of eigenvalues and (in the integrable case) eigenfunctions of self-adjoint operators. This is related to a refined description of the dynamics through the well-known Egorov theorem: quantum evolution is well-approximated by classical evolution. The non-self-adjoint case presents serious additional difficulties. Making sense of the appropriate "classical" objects, and proving the correspondence, necessitates a great deal of supplementary geometric and analytic work. In this talk, I will present the challenges associated with non-self-adjoint semiclassical analysis, and describe recent results as well as perspectives.
Time and location: Thursday 8 October, 14:00-16:00
TBA
Morris Brooks (University of Zürich)
Abstract: TBA
Time and location: Thursday 15 October, 14:00-16:00
TBA
Charlie Dworaczek Guera (KTH Stockholm)
Abstract:
Time and location: Thursday 22 October, 14:00-16:00