J. Andres Montoya

Departamento de Matematicas, Universidad Nacional, Bogota

 

 

On Hartmanis-Stearns Conjecture

 

Hartmanis-Stearns Conjecture states that irrational algebraic numbers cannot be
computed in real-time. Thus, the conjecture relates two important, and seemingly
unrelated, concepts in mathematics and computer science: algebraic trascendence
and algorithmic complexity. We will survey some recent advances towards the proof
of this interesting conjecture

 

Fecha: 14 de noviembre 2012

Hora  6pm

 

Martha Soledad
Matemática  y especialista universidad Nacional.
Magister en economía Universidad de los Andes.
Asesora Unidad de información y análisis financiero
Ministerio de Hacienda.


"Una primer aproximación a un mapa de riesgo de Lavado de activos."

Resumen

Dado que no existe una definción estandar del evento  de riesgo

asociado al lavado de activos, se define el evento, se considera la

naturaleza incierta de las operaciones de lavado de activos, y se

aplican modelos matemáticos que modelar  dicha

naturaleza y  determinar la calificación del riesgo .se  presenta una

metodologìa cuantitativa para obtener la calificación del

riesgo asociado al lavado de activos para: los sectores económicos,

los departamentos y las regiones de Colombia.

Fecha  23 de octubre

Hora  6pm

Salón F503

Rafael Diaz
Investigador
ESCUELA DE MATEMÁTICAS
UNIVERSIDAD SERGIO ARBOLEDA


RESUMEN

Presentamos una introducción elemental a la geometría en caracteristica uno

Fecha: 3 de octubre 2012
Hora : 6pm
salón : F 503

LINA KATHERINE SANTAMARIA SANTOS
ESTUDIANTE
ESCUELA DE MATEMÁTICAS
UNIVERSIDAD SERGIO ARBOLEDA

THE COOPERATION'S PROBLEM

In this talk we will introduce the idea about the cooperation's problem given by Axelrod. Due to, we are living in world where the individual interest has priority over the group, the central question: what are the conditions that make possible a cooperation?. These conditions involve the iteration prisoner's Dilemma.

Fecha  26 de septiembre
hora    6pm
Salón   F 503

Juan Felipe Carmona Gonzalez
Doctorando
Departamento de Matemáticas
Universidad Los Andes
Universidad de Lyon

  El teorema de Desargues en planos proyectivos.

Resumen

Mediante técnicas modelo-teóricas (construcciones de Hrushovski) exhibiré una construcción de un plano proyectivo donde no se cumple el teorema de Desargues. Luego mostraré cómo se pueden interpretar los planos proyectivos como cierto tipo de categorías y qué significa la (no) validez del teorema de Desargues en éstas.

 

 

FECHA 13 septiembre

SALÓN  F503

HORA 6 A 7PM

                              Skew PBW Extensions in algebra and geometry
                                                Oswaldo Lezama   , Armando Reyes

Grupo de Algebra Conmutativa Computacional - SAC2
Departamento de Matem aticas
Universidad Nacional de Colombia, Sede Bogot a

Abstract

In this talk we present some results about skew PBW extensions which were introduced by Lezama in [1].
These extensions and its localizations include a wide variety of rings and algebras of interest for modern
mathematical physics such as PBW extensions, well known classes of Ore algebras, operator algebras,
di usion algebras, quantum algebras, quadratic algebras in 3-variables, skew quantum polynomials,
among many others.


References
[1] Gallego, C. and Lezama, O., Grobner bases for ideals of sigma-PBW extensions, Communications
in Algebra, 39 (1), 2011, 50-75.
[2] Lezama, O. and Reyes, A., Regularity for skew PBW extensions, to appear.

Fecha 29 de agosto 2012
Hora  6pm
SAlòn F503

Stochastic Modeling for Warranty Analysis

Professor Alagar Rangan

Department of Industrial Engineering,

Eastern Mediterranean University

In this talk, we introduce various kind of stochastic models for Warranty Analysis, in particular, extended warranty models. We consider a repairable system subject to two types of failures, minor and major requiring minimal repair and replacement, respectively, as maintenance actions. Extended warranty models for the system that includes a free replacement period and an extended warranty period are analysed. Consumers have several warranty options during the extended warranty period. Explicit expressions for the manufacturer's long run average profit per unit time under these options are obtained. We enlarge the objective function by including the total sales volume. This is done by considering the demand as a displaced log linear function of the product price, fixed warranty period and the extended warranty period.   Numerical illustrations are provided in each case to demonstrate optimal pricing and warranty period.

Fecha: 22 de agosto de 2012
hora :6pm
Salòn  F503