Let $A$ be an associative algebra over a field $F$ of characteristic zero, $F\langle X \rangle$ be the free algebra generated by the countable set $X=\{x_1,x_2,\ldots \}$ and $W$ be a unitary algebra over $F$. Then $A$ is called $W$-algebra if it has a structure of $W$-bimodule with some additional conditions. 

In 1972, Kantor introduced the class of conservative algebras, which contains many other important classes of algebras, for example, associative, Lie, Jordan, and Leibniz algebras. Initially, we will discuss some known results about conservative algebras, and especially the algebra $U(n)$ (space of bilinear multiplications on the n-dimensional space $V_n$). Then, we will present results obtained on the study of the Kantor product (product defined in $U(n)$). In particular, we will study the Kantor product of some finite-dimensional algebras.

A twisted rational map over an algebraically closed and complete non-archimedean field K of characteristic 0 is a composition of a rational map over K and certain continuous automorphism of K. We explore the dynamical properties of tame twisted rational maps.

The Monster group $M$ is the largest sporadic simple group. It is also the group of automorphisms of $196, 884$-dimensional Fischer-Norton-Griess algebra $V_M$. In 2009, A. A. Ivanov offered an axiomatic approach to studying the structure of $V_M$ by introducing the notions of Majorana algebra and Majorana representation. Later, the theory developed, and Majorana representations of several groups were constructed. Our talk is dedicated to the existence of standard Majorana representations of 3-transposition groups for the Fischer list.

Apresentaremos o estado da arte sobre o estudo da conjectura da estabilidade para fluxos geodésicos, que ainda é um problema aberto devido à ausência do closing lemma no âmbito dos fluxos geodésicos. 

We introduce the notion of a crossed module over an inverse semigroup which generalizes the notion of a module over an inverse semigroup in the sense of Lausch, as well as the notion of a crossed module over a group in the sense of Whitehead and Maclane.

This presentation is divided into three parts where we analyze three different epidemiological models.

In the first part we analyze a periodically-forced system SIR model. We prove that the condition R0 < 1 is not enough to guarantee the elimination of the disease. Using the Theory of rank-one attractors, we prove persistent strange attractors for an open subset in the space of parameters where R0 < 1.

The study of hyperbolic structures (uniform and nonuniform ones)
is a central subject in Dynamical Systems.
Nowadays, there are many notions of weak hyperbolicity, and
here I am interested in the setting of flows with singularities (e.g.,
Lorenz systems).
In this talk I am going to talk about some notions of (nonuniform)

We consider germs of holomorphic vector fields at the origin in dimension 3 with non-isolated singularities that are tangent to a holomorphic 

The presentation explores the idea of introducing the notion of a total order to regular languages and deterministic finite automata (DFAs) with a focus on the definitions as given in a paper by Shyr and Thierrin in 1974. We discuss some properties and consequences of these definitions and present a selection of known results mainly related to state complexity. Finally, we outline a series of interesting open problems that are going to be subject to further investigation.