Categoría: Seminars 2018

Seminar of November 22nd

 22/11/2018, Room 27, 2:30 pm, FAMAF Time-Band-Limiting for matrix-valued functions Speaker: Ignacio Zurrián Abstract:  El tema de la limitación de time-band-limiting, que se origina en el procesamiento de señales, está dominado por el «milagro» de que un operador integral que aparece naturalmente admite un conmutante diferencial que permite una manera numéricamente eficiente de calcular sus funciones …

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Seminar of November 8th

 8/11/2018, Room 27, 2:30 pm, FAMAF The adjoint algebra for tensor categories.  Speaker: Noelia Belén Bortolussi Abstract:  Representation theory and category theory are useful tools for the study of groups and Hopf algebras. In this talk, we shall introduce the background to understand the notion of characters in the context of tensor categories. This concept was …

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Seminar of October 25th

 25/10/2018, Room 27, 14:30 hs FAMAF Matrix valued spherical functions and multivariable matrix valued orthogonal polynomials Speaker: Erik Koelink Abstract: For a specific case of a symmetric pair $(G,K)$ corresponding to the group case $SU(n+1)$, we discussmatrix-valued spherical functions as a generalization of the spherical functions, which arise as bi-K-invariant functions. The main input is an …

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Seminar of October 11th

 11/10/2018, Room 27, 14:30 hs FAMAF Burchnall type identities for orthogonal polynomials Speaker: Erik Koelink Abstract: L.J. Burchnall (1892-1975) proved a converse to the linearization formula for Hermite polynomials in 1941. In doing so, he calculated powers of a differential operator in terms of Hermite polynomials and (standard) derivatives. We show that this approach generalizes to …

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Seminar of September 27th

 27/9/2018, Room 23, 16:30 hs FAMAF How to lift Speaker: Agustín García Iglesias Abstract: In this talk, we will give a detailed introduction to a technique of deformation of graded Hopf algebras that we introduced, in joint work with various authors, and which was successfully employed to conclude the classification of finite-dimensional pointed Hopf algebras with …

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Seminar of September 13th

 13/9/2018, Room 27, 14:30 hs FAMAF Hopf algebra with basic Hopf coradical Speaker: Iván Angiono Abstract: The Lifting Method, which was introduced by  Andruskiewitsch and Schneider in the late 1990s, has been very fruitful for the problem of classification of Hopf algebras (of finite dimension). In fact, it has led to the classification of all pointed …

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Seminar of August 30th

 30/8/2018, Room 27, 14:30 hs FAMAF On the SO(n+3) to SO(n) branching multiplicity space Speaker: Fiorella Rossi Bertone Abstract: Let be an irreducible representation of a compact Lie group G. Consider the restriction of  to a closed subgroup L of G. In general, this restriction is not irreducible and its decomposition as irreducible L-modules is called …

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Seminar of August 16th

 16/8/2018, Room 23, 14:30 hs FAMAF Matrix spherical analysis on nilmanifolds Speaker: Rocío Díaz Abstract:  Let N be a connected, simply connected nilpotent Lie group, which is provided with a left invariant riemannian metric.  The isometry group of N is the semi-direct product $ K\ltimes N $, where K is the group of orthogonal automorphisms of …

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Seminar of July 5th

 4/7/2018, Room 27, 14:30 hs FaMAF Nichols algebras over dihedral groups Speaker: Sergio Beltran Cubillos Abstract:  The aim of this talk is to give an overview of what is known about the dimensions of the Nichols algebras over dihedral groups. We will first set up the problem and show with examples the methods that are used …

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Seminar of June 22nd

 22/6/2018, Room 11, 11:00 hs FaMAF Perverse sheaves in the language of diagrammatic categories. Speaker: Cristian Vay Abstract: Important results in the theory of representation of Lie groups and Lie algebras have been proved initially using geometry. The geometric interpretation is given via the category of perverse sheaves on a flag variety. Algebraic proofs were available …

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