Date:
Thu, 25/06/202610:00-11:00
Location:
Ross 70
On Thursday, 25.6.26, 10 AM, at Ross 70.
Alon Dogon (Weizmann) will speak on:
Title: On quantitative stability for approximate representations of groups.
Abstract:
We will be concerned with quantitative aspects of studying stability for approximate representations of groups.
An example of the problem, in the case of abelian groups, is the following: Are unitary matrices almost commuting in the Hilbert-Schmidt norm close to truly commuting matrices?
The question turns out to have a positive effective answer: the relation between the parameters is polynomial.
In this talk, I will present a construction of stable groups with arbitrarily bad modulus of stability, using the space of marked groups (joint with Itamar Vigdorovich and Arie Levit).
I will also report on ongoing work with Thomas Vidick, where we prove that the lamplighter group is stable with an at most exponential rate.
Our approach is based on new dynamical methods, including an effective Kakutani-Rokhlin-type decomposition procedure for approximately invariant measures with periodic points on the symbolic shift space.
Alon Dogon (Weizmann) will speak on:
Title: On quantitative stability for approximate representations of groups.
Abstract:
We will be concerned with quantitative aspects of studying stability for approximate representations of groups.
An example of the problem, in the case of abelian groups, is the following: Are unitary matrices almost commuting in the Hilbert-Schmidt norm close to truly commuting matrices?
The question turns out to have a positive effective answer: the relation between the parameters is polynomial.
In this talk, I will present a construction of stable groups with arbitrarily bad modulus of stability, using the space of marked groups (joint with Itamar Vigdorovich and Arie Levit).
I will also report on ongoing work with Thomas Vidick, where we prove that the lamplighter group is stable with an at most exponential rate.
Our approach is based on new dynamical methods, including an effective Kakutani-Rokhlin-type decomposition procedure for approximately invariant measures with periodic points on the symbolic shift space.