Stability and Testability

Ultrametric stability problems

We study stability problems with respect to families of groups equipped with bi-invariant ultrametrics, that is, metrics satisfying the strong triangle inequality. This property has very strong consequences, and this form of stability behaves very differently from the other ones that we saw throughout the seminar. Many results can be established in full generality, but we will focus on a p-adic analogue of Ulam stability, where the family of approximating groups is $GL_n(Z_p)$.

Date & Time

March 31, 2021 | 11:00am – 12:15pm

Location

Remote Access

Speakers

Francesco Fournier-Facio

Affiliation

Eidgenössische Technische Hochschule Zürich