Álgebra, Geometría y Topología - (AGT): Envíos recientes
Mostrando ítems 1-20 de 90
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Con ocho basta
(2022)En esta charla hablaremos de las descripciones y particularidades de los 8 hijos del grupo de Lie compacto G_2=Aut(O), o sea, de sus cocientes reductivos. La foto de familia permitirá entender mejor la relación entre ... -
Sobre la dimensión minimal de las orbitas de una acción de Rn
(2022)Considérese una acción diferenciable de Rn sobre una variedad conexa M, no necesariamente compacta, de dimensión m y rango k. Supóngase que M no es un cilindro. Entonces existe una órbita de la acción de dimensión < ... -
The Talented monoid of a graph and its connections with the Leavitt path algebra
(2022)In this talk, we introduce an algebraic entity arising from a directed graph - the talented monoid. The talented monoid has an interesting relationship with the Leavitt path algebra. In fact, the group completion of the ... -
A Jordan Canonical Form for nilpotent elements in an arbitrary ring
(2022)En este poster resumimos una nueva forma de calcular la forma canónica de un elemento nilpotente dentro de un álgebra asociativa. -
Groups as automorphisms of dessins d’enfants
(Springer, 2022-08-01)It is known that every finite group can be represented as the full group of automorphisms of a suitable compact dessin d’enfant. In this paper, we give a constructive and easy proof that the same holds for any countable ... -
Classification of fiber sequences with a prescribed holonomy action
(Elsevier, 2022-08-01)We define H-fibration sequences as fibrations where the holonomy action of the fundamental group of the base on the fiber lies in a given subgroup H of E(F ), where E(F ) is the homotopy automorphism group of the fiber. ... -
Contact structures on null hypersurfaces
(Elsevier, 2022-08)The aim of this paper is to show how we can induce contact structures, contact metric structures and Sasaki structures on a null hypersurface from a rigging vector field. We give several explicit examples of this construction ... -
Gradings on classical Lie algebras via sesquilinear forms over graded-division algebras
(2022)En esta charla de aproximadamente una hora el profesor Dr. Mikhail V. Kochetov nos introduce en las últimas técnicas usadas para clasificar graduaciones sobre ciertas álgebras de Lie clásicas. Técnicas usadas en su monografía ... -
Categorías tensoriales, álgebras y superálgebras
(2022)After reviewing the basic definitions of tensor categories and the notion of semisimplification of symmetric tensor categories, it will be shown how the semisimplification of the category of representations of the cyclic ... -
Lie models of homotopy automorphism monoids and classifying fibrations
(Elsevier, 2022-06-25)Given X a finite nilpotent simplicial set, consider the classifying fibrations X → B aut∗ G(X) → B autG(X) and X → Z → B aut∗ π (X) where G and π denote, respectively, subgroups of the free and pointed homotopy classes ... -
Spin(7) structures, spinors and nilmanifolds
(UMA Editorial, 2022-05-16)Esta tesis aborda varios problemas en el área de las estructuras geométricas, y se divide en dos partes. En la primera, describimos las estructuras Spin(7) desde el punto de vista de la teoría de espinores, en la segunda ... -
The Milnor-Moore theorem for L∞ algebras in rational homotopy theory
(Springer, 2021-09-20)We give a construction of the universal enveloping A∞ algebra of a given L∞ algebra, alternative to the already existing versions. As applications, we derive a higher homotopy algebras version of the classical Milnor-Moore ... -
El espacio de móduli de fibrados principales con trivialización formal
(2021-12-13)En matemáticas, los problemas de clasificación adquieren una relevancia especial, pues es a través de los mismos cuando se descubren las propiedades intrínsecas de los objetos involucrados. Desde el punto de vista ... -
La red de bólidos de la Universidad de Málaga y de la Sociedad Malagueña de Astronomía. Balance de resultados
(2021-10-10)Se describe el estado actual de la Red UMA/SMA, se realiza un balance de los resultados obtenidos desde sus comienzos hasta el 1 de septiembre del 2021 y se relatan algunos de los fenómenos más interesantes que han sido ... -
Iniciación a la espectroscopía de meteoros dentro de la Red de Detección de la Universidad de Málaga y de la Sociedad Malagueña de Astronomía
(2021-10-11)Se describe el método seguido para obtener espectros de meteoros con la estación de El Torcal incluida en la Red de Bólidos y Meteros UMA/SMA y el proceso de análisis de los mismos. -
Homotopy nilpotency and co-nilpotency of spaces
(2020-03-11)We review known and state some new results on homotopy nilpotency and co-nilpotency of spaces. Next, we take up the systematic study of homotopy nilpotency of homogenous spaces G/K for a Lie group G and its closed subgroup ... -
Topological restrictions in Lorentzian geometry: a survey
(2020-03-09)It is well know that globally hyperbolic solutions (M,g) of the Einstein field equations in general relativity may have initial data Cauchy hypersurfaces with any topology. However, some restrictions on the fundamental ... -
A gravitational collapse singularity theorem that improves Penrose's
(2020-03-09)The global hyperbolicity assumption present in gravitational collapse singularity theorems is in tension with the quantum mechanical phenomenon of black hole evaporation. In this work I show that the causality conditions ... -
Realisability problems in Algebraic Topology
(UMA Editorial, 2020-02-24)Realisability problems in Algebraic Topology are very easy to state and extremely hard to solve. Three classic examples of this are: the realisability of cohomology algebras, proposed by N. E. Steenrod in the 1960s, which ... -
KV. Cohomology and some applications
(2020-02-24)Two versions of the KV-cohomology are presented and some algebraic and geometrical applications are given. We will see some applications to stochastic manifold. As a consequence, we can apply these ideas in Lorentzian ...