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Coloquios del departamento 2018

Próxima charla: Jens Harlander (Department of Mathematics, Boise State University - USA) "Finite or Infinite? An Introduction to Combinatorial and Geometric Group Theory"
Coloquios del Departamento de Matemática 2018

Coloquios 2018


Jueves 3 de mayo de 2018 - 16 hs
Aula de seminario nuevo del DM/IMAS.

Emmanuel Amiot (miembro asociado del Laboratorio de Matemática y Físia - Univ. Perpignan - Francia)

Rhythmic canons and other fascinating tilings problems in music.


The topic of rhythmic canons — making a mosaic with copies of some rhythmic motif — is of interest both for mathematicians, being connected to actively studied conjectures, and for composers, providing quality material for a wide variety of music styles. The present talk will endeavour to show the state of the art on rhythmics canons by translation and also evoke some more general tilings, with unexpected journeys into high algebra, Galois theory or combinatorics.

Jueves 22 de febrero de 2018 - 15 hs
Aula de seminario nuevo del DM/IMAS.

Jens Harlander (Department of Mathematics, Boise State University - USA)

Finite or Infinite? An Introduction to Combinatorial and Geometric Group Theory.


The fundamental group of a space provides essential information about features of the space that stay invariant under deformations, such as holes. Topologists encounter the fundamental group in terms of a presentation by generators and relations. A presentation, typically a finite set of data, uniquely determines the group, but it is notoriously difficult to learn properties of the group from a given presentation. Even the most obvious question “Is the group presented trivial, finite, or infinite?”, is difficult to answer. In fact, the question is known to be algorithmically undecidable. In my talk I will survey combinatorial and geometric methods that can be used in the study of group presentations. The talk will be suitable for a general audience.

Jueves 15 de febrero de 2018 - 15 hs
Aula de seminario nuevo del DM/IMAS.

Oscar García-Prada (Profesor de investigación del ICMAT - Espana)

Teoría de Hodge no abeliana y espacios de Teichmuller.


La teoría de Hodge no abeliana en una superficie de Riemann generaliza a grupos de Lie no abelianos la correspondencia clásica establecida en el siglo XIX entre el espacio de representaciones del grupo fundamental de la superficie en el grupo abeliano U(1) ---números complejos de modulo 1--- y la variedad Jacobiana de la superficie de Riemann. Tras recordar esta teoría clásica, consideraremos el caso en el que el grupo de Lie es SL(2,R) ---el grupo de matrices reales 2x2 con determinante igual a 1---. En esta sitación, la variedad de representaciones se relaciona con el espacio de Teichmuller que paramétriza estructuras complejas en la superficie, y con ciertos objetos geométrico-algebraicos denominados fibrados de Higgs. Veremos como este caso se generaliza a otros grupos de Lie de rango superior, dando lugar a espacios de Teichmuller mas generales, cuyo significado geométrico esta todavía por comprender.

martes 6 de febrero de 2018 - 15 hs
Aula de seminario nuevo del DM/IMAS.

Francisco Javier Sayas - (University of Delaware - USA)

Crossing physical barriers with discrete layer potentials.


I will offer a light introduction (with many formulas, but no too many theorems) to the ideas behind the theory of layer potentials to represent the solutions of several well known PDEs. With origins well rooted in electrostatics, charge distributions on the surface of a conductor become mathematical entities that can be transferred to domains where they have no physical meaning, while they are still useful for computation. I will describe the work of my team in trying to reveal mathematical properties of discrete layer potentials and their applications to several problems in acoustics, elastodynamics, and electromagnetism.


Created by nsaintie
Last modified 2018-04-23 12:05 PM

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