[Dottorcomp] Insalate di Matematica - T. Toti 28/05/2025

[Insalate Di Matematica]

Dear all,

We remind you *today*'s appointment of the series of seminars "Insalate di
Matematica".
Here are the details:

*Speaker*: Tommaso Toti (Università degli Studi di Milano-Bicocca)

*Date and time*: *28th of May 2025, 4:30 pm (CEST)*

*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 in room 3014*
The seminar will take place in room 3014, at the building U5-Ratio,
Università degli Studi di Milano Bicocca.


*Information to attend online*
https://unimib.webex.com/unimib/j.php?MTID=m101728a0c0258813b6aa97783fb11fad
(password: insalate, 46725283 from phones)
<https://unimib.webex.com/unimib/j.php?MTID=m3c536ba5a33f71bb9d6a3bc9b00992ad>

For further information, please visit our website:
https://sites.google.com/view/insalate-di-matematica or contact us at
insalate.matematica a unimib.it. Find us also on our Instagram page:
https://www.instagram.com/insalate_di_matematica24/

The organizers: Anna Donadini, Julian Feuerpfeil, Marco Fusari,
Kirubell Haile, Paolo Malanchini, Ettore Marmo, Fabio Mastrogiacomo,
Claudia Nocita, Eleonora Sforza and Tommaso Toti.