Álgebra, Geometría y Topología - (AGT): Envíos recientes
Mostrando ítems 21-40 de 80
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Infinity structures and higher products in rational homotopy theory
(UMA Editorial, 2018)Rational homotopy theory classically studies the torsion free phenomena in the homotopy category of topological spaces and continuous maps. Its success is mainly due to the existence of relatively simple algebraic models ... -
Some global causal properties in certain classes of spacetimes
(UMA Editorial, 2018-05)Causality is a specific tool of Lorentzian Geometry, with a clear physical motivation, which has played a central role in proving important theorems about the global structure of spacetimes. Causality conditions are ... -
Superficies mínimas: viejos problemas y nuevos avances
(2018-10-18)Haremos un recorrido por los principales problemas abiertos de la teoría clásica de superficies mínimas en el espacio euclídeo tridimensional, y cuáles son los últimos resultados en este campo. -
Determinación algorítmica de estructuras Hopf Galois
(2018-10-15)La teoría Hopf-Galois es una generalización de la teoría de Galois. La clave es sustituir los grupos de Galois por álgebras de Hopf y la acción de Galois por una cierta “acción de Hopf” que actúa por endomorfismos. Este ... -
Teoría de Hopf Galois: Introducción y enfoque aritmético
(2018-10-05)La teoría de Hopf Galois es una generalización de la teoría de Galois usando álgebras de Hopf, y surge en 1969 de la mano de S. U. Chase y M. E. Sweedler, con la idea de reemplazar el grupo de Galois de una extensión de ... -
Leavitt Path algebras via partial skew ring theory
(2018-04-17)We will introduce the theory or partial actions of groups and their associated algebras. As an example we will realize the Leavitt path algebra associated with a graph as a partial skew group ring. To finish, we will ... -
Butterfly, Möbius, and Double Burnside algebras of noncyclic finite groups
(2018-03-09)The double Burnside ring B(G,G) of a finite group G is the Grothendieck ring of finite (G,G)-bisets with respect to the tensor product of bisets over G. Many invariants of the group G, such as the (single) Burnside ring ... -
Sigma-maps on triangular algebras
(2018-01-30)Triangular algebras were introduced by Chase in the early 1960s. He ended up with these structures in the course of his study of the asymmetric behavior of semi-hereditary rings. Since their introduction, triangular ... -
Derivaciones y derivaciones generales de las álgebras no asociativas
(2018-01-15)El resultado clásico de Jacobson es seguinte: una álgebra de Lie de dimención finita con una derivación inversible sobre un cuerpo del caracteristica cero es una álgebra nilpotente. Nosotros vamos a hablar sobre posibles ... -
On the structure of Leavitt path algebras and Kumjian-Pask algebras.
(UMA Editorial, 2017-01-15)Esta tesis doctoral pretende continuar y avanzar en el conocimiento de las álgebras de caminos de Leavitt. Para un grafo dirigido E, el álgebra de caminos de Leavitt L(E) es el análogo algebraico de la C*-álgebra de ... -
Evolution algebras
(UMA Editorial, 2016)La tesis tiene por título “Álgebras de evolución”. Está escrita en inglés y tiene un total de 189 páginas. Dicho manuscrito está formado por las siguientes capítulos: 1.- Introducción 2.- Resumen en español. 3.- Hechos ... -
The center and the Lie structure of a Leavitt path algebra
(2017-06-30)Este es el curso que impartí en la Escuela de investigación "CIMPA School Recent trends in non-commutative algebra" en junio de 2017 en Pune, India (véase https://iiserpunecimpa17.wordpress.com/) -
Jordan-lie inner ideals of finite dimensional associative algebras
(2017-06-15)Any associative ring A becomes a Lie ring A(−) under [x, y] = xy−yx. Let A(1) = [A, A] be the derived subalgebra of A(−) and let Z be its center. In the early 1950s Herstein initiated a study of Lie ideals of A in case ... -
L-InfinityAlgebras, Cohomology and M-Theory
(2017-05-12)In this introduction for topologists, we explain the role that extensions of L-infinity algebras by taking homotopy fibers plays in physics. This first appeared with the work of physicists D'Auria and Fre in 1982, ... -
G2 and the rolling ball
(2017-05-09)Understanding the exceptional Lie groups as the symmetry groups of simpler objects is a long-standing program in mathematics. Here, we explore one famous realization of the smallest exceptional Lie group, G2: Its Lie ... -
Recent results on (p,q)-Laplacian type equations
(2017-05-09)Start ing from a new sum decomposit ion of W1,p(RN ) ∩W1,q(RN ) and using a variat ional approach, we invest igate the existence of mult ipleweak solut ions of a (p, q)–Laplacian equat ion on RN , for 1 < q < p < N , ... -
Modelos no asociativos en genética de poblaciones
(2017-05-04)El objetivo de esta charla es, en primer lugar, dar una visi on general de algunos de los modelos no asociativos m as com unmente utilizados en gen etica de poblaciones para, a continuaci on, describir las llamadas co ... -
On intersections of ideals of Leavitt path algebras
(2017-04-04)During the 2015 CIMPA Research School in Turkey on “Leavitt path algebras and graph C*-algebras”, Astrid an Huef raised the question whether the statement: For a given graph E, every (closed) ideal I of C*(E) is ... -
Factorization of Ideals in Leavitt Path algebras
(2017-04-04)After pointing out how ideals in a Leavitt path algebra L of a graph E behave like ideals in a commutative ring, we shall consider the question of factorizing an arbitrary ideal I as a product of finitely many special type ... -
Ordenes Locales en Álgebras de Jordan
(2017-02-16)La noción de orden local procede de los trabajos de Fountain y Gould en el caso de álgebras asociativas, y ha sido adaptada a álgebras y otros sistemas de Jordan por varios autores. En esta charla, la fuente original ...