• Groupoids and Steinberg Algebras 

      Clark, Lisa Orloff (2016-03-15)
      A groupoid is a generalisation of group in which composition is only partially defined. In first half of this talk, I will give an overview of groupoid theory and show how groupoids provide a unifying model for a number ...
    • C*-algebras associated to Boolean dynamical systems 

      Pardo Espino, Enrique (2016-03-15)
      The goal of this talk is to present the C*-algebra $C^*(\mathcal{B}, \mathcal{L}, \theta)$ of a Boolean dynamical system $(\mathcal{B}, \mathcal{L}, \theta)$, that generalizes the $C^*$-algebra associated to a labelled ...
    • Connectivity by geodesics on a class of globally hyperbolic spacetimes 

      Bartolo, Rosella (2016-04-14)
      During the past years there has been a considerable amount of research related to the problem of geodesic connectedness of Lorentzian manifolds. This topic has wide applications in Physics, but for mathematicians its ...
    • Homeomorphism groups of the cube and other n-manifolds 

      Rolfsen, Dale; Calegari, Danny (2016-04-25)
      In this talk, the structure of the homeomorphism group of the cube is presented. Applications to the homeomorphism groups of other n-manifolds are also treated.
    • Reconstruction of graded groupoids from graded Steinberg algebras 

      Ara, Pere (2016-05-19)
      We show how to reconstruct a graded ample Hausdorff groupoid with topologically principal neutrally-graded component from the ring structure of its graded Steinberg algebra over any commutative integral domain with 1, ...
    • Ondas Gravitacionales: el amanecer de una nueva era 

      Martín Senovilla, José María (2016-09-13)
      Después de una larga espera de decenas de años estamos de enhorabuena: el 14 de Septiembre de 2015 una colaboración científica internacional (LIGO/VIRGO) logró detectar, en sus interferómetros más avanzados en funcionamiento, ...
    • Estructura de anillo de la cohomología de Hoschild de álgebras de Sridharan 

      D'Alesio, Sofía (2016-10-07)
      Sridharan probó en [Sri61] que toda álgebra filtrada cuyo graduado asociado es S(V) para algún espacio vectorial V, está determinada salvo isomorfismo por una estructura de Lie sobre V y la clase de cohomología de un ...
    • Leavitt path algebras and the IBN property 

      Kanuni, Muge (2016-12-21)
      A ring has invariant basis number property (IBN) if any two bases of a finitely generated free module have the same number of elements. In 1960's Leavitt constructed examples of rings R without IBN, more precisely for any ...
    • Ordenes Locales en Álgebras de Jordan 

      Montaner Frutos, Fernando (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 ...
    • On intersections of ideals of Leavitt path algebras 

      Kanuni Er, Muge (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 

      Rangaswamy, Kulumani (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 ...
    • Modelos no asociativos en genética de poblaciones 

      Paniello Alastruey, Irene (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 ...
    • Recent results on (p,q)-Laplacian type equations 

      Bartolo, Rosella (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 , ...
    • G2 and the rolling ball 

      Huerta, John (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 ...
    • L-InfinityAlgebras, Cohomology and M-Theory 

      Huerta, John (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, ...
    • Jordan-lie inner ideals of finite dimensional associative algebras 

      Baranov, Alexander (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 ...
    • Derivaciones y derivaciones generales de las álgebras no asociativas 

      Kaygorodov, Ivan (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 ...
    • Sigma-maps on triangular algebras 

      Sánchez Ortega, Juana; Repka, Joe; Martin-Gonzalez, Candido (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 ...
    • Butterfly, Möbius, and Double Burnside algebras of noncyclic finite groups 

      Park, Sejong (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 ...
    • Leavitt Path algebras via partial skew ring theory 

      Gonçalves, Daniel (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 ...