Chen, Erdős, and Staton asked in 1996 how many edges are required in an n-vertex graph to…
Future and Ongoing Seminars
This has been an open question for more than 70 years. I'll review what is known, including some…
Quasi-hereditary algebras are a class of finite-dimensional associative algebras that appear…
Abstract: I will review the application of Hamiltonian flows in imaginary time…
The Hasse principle is the idea that a Diophantine equation over the rational numbers should…
Quasigroupoids and weak Hopf quasigroups are non-associative generalizations of groupoids and…
Polynomial expansion concerns the heuristic expectation that, for a typical polynomial P in n…
Past Seminars
In 2017, Baraviera and Duarte extended a classical theorem from Le Page.
The Finite Index Basis Theorem is an elegant result connecting bifix codes, symbolic dynamical…
Impulsive Dynamical Systems (IDS) can be seen as suitable mathematical models of real…
Let $Q(x,y)=ax^{2}+bxy+cy^{2}$ be a real and positive definite quadratic form. The classical…
Abstract:
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…
