• Extremal elements in Lie Algebras 

      Cohen, Arjeh M. (2014-12-10)
      The main result discussed in this lecture is an elementary proof of the following theorem: If L is a simple Lie algebra over F of characteristic distinct from 2 and 3 having an extremal element that is not a sandwich, ...
    • 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 ...
    • 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 ...
    • Geometric assumptions and variational tools in Lorentzian geometry 

      Candela, Anna Maria (2014-10-02)
      During the past years there has been a considerable amount of research related to the problem of geodesic connectedness of Lorentzian manifolds. In particular, some geometric sufficient conditions have been introduced so ...
    • Geometries from structurable algebras and inner ideals 

      Meulewaeter, Jeroen (2020-02-12)
      Se estudian ciertos tipos de geometrias en algebras estructurables via sus ideales internos abelianos.
    • A gravitational collapse singularity theorem that improves Penrose's 

      Minguzzi, Ettore (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 ...
    • 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 ...
    • Grupos p-locales finitos y grupos de cohomología 

      Garaialde Ocaña, Oihana (2013-12-10)
      Definimos ciertos espacios topológicos llamados grupos p-locales finitos e introducimos una sucesión espectral que calcula su cohomología en ciertos casos, incluyendo algunos grupos p-locales finitos "exóticos". Presentaremos ...
    • 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.
    • Homotopy nilpotency and co-nilpotency of spaces 

      Golasinski, Marek (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 ...
    • Incidence algebras. Overview 

      Muge, Kanuni (2015-05-13)
      In his celebrated paper of 1964, "On the foundations of combinatorial theory I: Theory of Möbius Functions" Gian-Carlo Rota defined an incidence algebra as a tool for solving combinatorial problems. Incidence algebra is a ...
    • Infinite-Dimensional Diagonalization 

      Mesyan, Zachary; Reyes, Manuel; Iovanov, Miodrag (2015-05-29)
      Let V be an arbitrary vector space over a field K, and let End(V) be the ring of all K-linear transformations of V. We characterize the diagonalizable linear transformations in End(V), as well as the (simultaneously) ...
    • 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 ...
    • KV. Cohomology and some applications 

      Ferdinand, Ngakeu (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 ...
    • 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, ...
    • 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 ...
    • 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 ...
    • Maximal surfaces and graphs in a Lorentzian product -RxM 

      Lima Jr., Eraldo A. (2015-02-26)
      We will present several results for maximal surfaces in a Lorentzian product manifold -R×M. The main purpose is to characterize the slices as complete maximal surfaces satisfying a comparison between the growth of lenght ...
    • 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 ...
    • Módulos graduados e invariantes de Brauer 

      Elduque, Alberto (2014-12-10)
      Dado un módulo irreducible de dimensión finita para un álgebra de Lie semisimple graduada sobre un cuerpo algebraicamente cerrado de característica cero, se estudiarán las obstrucciones que existen para la existencia de ...