Coloquio 10 de Octubre 2013

UNIVERSAL CONVEXITY OF POLYLOGARITHMS

Expositor: Andrew Bakan (a joint work with St. Ruscheweyh and L. Salinas)
Institución: Institute of Mathematics, National Academy of Sciences of Ukraine, Kiev.

Jueves 10 de octubre de 2013.
16:00-17:00 hrs.

Resumen: "We shall talk about new integral representations and new properties of polylogarithms discovered recently. In particular, it will be told that polylogarithmic functions map every open disk one-to-one onto a convex domain provided that the disk does not intersect the ray [1, + oo ).

Coloquio 9 de Octubre 2013

ÁLGEBRA DE HOPF

Expositor: Agustín García
Institución: Universidad de Córdoba, Argentina.

Miércoles 9 de octubre de 2013.
16:00-17:00 hrs.

Resumen: Comenzaremos la charla con las definiciones y conceptos básicos sobre álgebras de Hopf. Enunciaremos algunos resultados conocidos de clasificación y finalmente discutiremos una estrategia para la clasificación de las álgebras de Hopf punteadas a través de deformaciones por cociclos.

Coloquio 25 de Julio 2013

ABUNDANCE ON GENERAL COMPLEX MANIFOLDS

Expositor: Gunnar Magnússon
Institución: : Institut Fourier, Université Joseph Fourier, Francia.

Jueves 25 de julio de 2013.
15:00-16:00 hrs.

Resumen: Let X be a compact Kahler manifold of dimension n and let K be its canonical bundle. The abundance conjecture says that the Kodaria dimension of X is equal to the numerical dimension of K If true, this provides an equality algebraic and cohomological objects. In this talk we will produce an example of a non-Kahler manifold on which the abundance conjecture fails. Our example is an echo of earlier ones of Ueno, whose relevance to this conjecture was somewhat overlooked since the abundance conjecture hadn't been made when they were constructed. We will start by a quick discussion of the abundance conjecture and its place in complex geometry. Next we will review a few details of the geometry of Kahler manifolds with trivial canonical bundle, then construct the examples themselves and prove they have the required properties.

Coloquio 19 de Julio 2013

SYMMETRIC DIFFERENTIAL DELAY EQUATIONS: PERIODIC SOLUTIONS AND THEIR STABILITY

Expositor: Anatoli Ivanov
Institución: Pennsylvania State University, USA.

Jueves 19 de julio de 2013.
12:00-13:00 hrs.

Coloquio 5 de Julio 2013

DISTRIBUCIONES DISCRETAS CON SOPORTE LOS ENTEROS NO NEGATIVOS

Expositor: Marta Perez-Casany
Institución: Universidad Politécnica de Cataluña, España

Viernes 5 de julio de 2013.
12:30-13:00 hrs.

Coloquio 27 de Junio 2013

EXOTIC SPHERES AND A CANCELLATION PROBLEM FOR AFFINE SPACES

Expositor: Adrien Dubouloz
Institución: CNRS, Université de Bourgonge, Francia

Jueves 27 de junio de 2013.
15:00-16:00 hrs.

Coloquio 23 Mayo 2013

ENUMERATION OF COMBINATORIAL OBJECTS CLOSELY RELATED TO THE DIAGONAL COINVARIANT SPACES OF THE SYMMETRIC GROUP

Expositor: Louis-Francois Preville-Ratelle
Institución: UTAL

Jueves 23 de mayo de 2013.
16:00-17:00 hrs.

Resumen: In this presentation, we talk about combinatorial objects that are closely related to the diagonal coinvariant spaces. These spaces are indexed by two positive integers: 1) the number k of sets of variables and 2) the number n of variables contained in each set of variables. They are representations of the symmetric group S_n. I will give the precise definitions of these spaces, give a bit of history about them and why they are interesting. The rest of the talk will be mostly about enumerative combinatorics and we will present some of our results in this direction.

Coloquio 17 de Abril 2013

EL ESPECTRO Y SCATTERING DE UN SISTEMA DE Q-BOSONES

Expositor: Jan Felipe Van Diejen
Institución: PUC

Miércoles 17 de abril de 2013.
15:00-16:00 hrs.

Resumen: Los q-bosones constituyen un sistema de partículas cuánticas en un espacio de Fock caracterizado por operadores de creación y aniquilación satisfaciendo relaciones de conmutación tipo q-Heisenberg. Analizamos el espectro del Hamiltoniano y calculamos el operador de scattering explícitamente usando el principio de la fase estacionaria.

Coloquio 11 de Abril 2013

EQUATIONS ON TIME SCALES AND APPLICATIONS

Expositor: Jaqueline Godoy Mesquita
Institución: USACH

Jueves 11 de abril de 2103.
16:00-17:00 hrs.

Coloquio 3 de Enero 2013

SOBRE EL PROBLEMA DE CAUCHY ABSTRACTO DE TERCER ORDEN

Expositor: Carlos Lizama
Institución: USACH

Jueves 3 de enero de 2013.
18:00-19:00