19–21 nov. 2025
IHES
Fuseau horaire Europe/Paris

Invitation to Random Tensor Models: from Random Geometry, Enumeration of Tensor Invariants, to Characteristic Polynomials

20 nov. 2025, 16:00
50m
Centre de conférences Marilyn et James Simons (IHES)

Centre de conférences Marilyn et James Simons

IHES

Le Bois-Marie 35, route de Chartres 91440 Bures-sur-Yvette

Orateur

Reiko Toriumi (Okinawa Institute of Science and Technology)

Description

I will introduce random tensor models by first reviewing their motivation coming from random geometric approach to quantum gravity. Then, I will selectively present some of the interesting research results, by highlighting recent results on enumerations of graphs representing tensor invariants, and reporting our recent work on a new notion of characteristic polynomials for tensors via Grassmann integrals and distributions of roots of random tensors.
The latter two are based on arXiv:2404.16404[hep-th] and arXiv:2510.04068[math-ph]

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