Wednesday 28 May 2025 at 4:30 pm, as part of the Insalate di Matematica seminar cycle, Tommaso Toti (University of Milano-Bicocca) will give the following talk
Title: Measuring torsion in some pro-p groups
Abstract: Many properties of a group G can be expressed by saying that it satisfies an equation w(x_1,...,x_k)=1. For example, G is abelian if and only if it satisfies the commutator equation w(x,y)=1 where w(x,y)=x^(-1)y^(-1)xy. On the other hand, since we can often turn a group into a probability space, it is interesting to measure how big/small is the subset of elements satisfying a given equation. In this talk, we will discuss this kind of problems for finite and profinite groups and, using Lie theoretic methods, we will show that the set of torsion elements in some pro-p groups has Haar measure zero.
Keywords: profinite groups, word maps, probabilistic identities
Information to attend
The seminar will be held in Room 3014 (3rd Floor) - U5 Building, University of Milano-Bicocca and will also be available online by this link (password: insalate, 46725283 from phones)
For more information, visit the website