A reduced word for a permutation of the symmetric group is its own commutation class if it has…
Future and Ongoing Seminars
We introduce the concept of a nonassociative (i.e. not necessarily associative) inverse…
I will present recent joint work with Jérémy Toulisse and Richard Wentworth on a differential…
In the 1950’s Davenport, Mirsky, Newman and Rado proved that if the integers are partitioned by…
The Gruenberg-Kegel graph of a group is defined as the graph whose vertices are the primes that…
This has been an open question for more than 70 years. I'll review what is known, including some…
Past Seminars
In this talk, I intend to give a view of the contents of the book with the same title, which…
PROGRAM
We give an introduction on the Brauer-Manin obstruction to the Hasse principle and present some…
One may wonder what are the 'most frequent' properties of finitely generated of subgroups of…
This talk will be about a project aiming to illustrate geometry through puzzles. The puzzles are…
The five-element semigroups $A_2$ and $B_2$…
Let $k$ be an algebraicallly closed field of characteristic $p\geq 0$ and let $G$ be a linear…
We say that a regular semigroup $S$ is weakly generated by a set $X$ if it has no proper regular…
Descent theory is the study of local-to-global problems. After a quick review of simple…
This talk concerns numerical semigroups, i.e. cofinite submonoids $S$ of $\mathbb{N…
In 1875, Smith computed the determinant of the $n\times n$…
Let $G$ be a subgroup of $S_n$. What can be said on the number of conjugacy classes of $G$, in…
Point vortices are singular solutions of the 2-dimensional incompressible Navier-Stokes…
Two of the most important and fundamental results in the representation theory of a reductive…
The study of algebras of partial functions is an active area of research that investigates…
A celebrated theorem of B. H.
Coarse median spaces and groups were introduced by Bowditch in 2013.
If $W$ is a set of words in the alphabet $\mathfrak…
In this talk we will discuss some problems on endomorphisms of groups with special focus…
Using graphs as a tool to encode properties of groups is a well established approach to many…
