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Department of mathematics

Information about mathematics

 

NEWS & EVENTS

15/11/2018
Conferencia Javier Girón - Harry Markowitz: precursor de la economía financiera

El premio Nobel de Economía de 1990 fue otorgado a Harry Markowitz, junto con los economistas Merton H. Miller y William F. Sharpe, sobre todo por su contribución a la llamada teoría de las carteras eficientes, una teoría que justificaba, desde un punto de vista matemático, la idea intuitiva de diversificación de activos financieros con el fin de reducir la incertidumbre o volatilidad de las inversiones.

Fecha: Martes, 20 de noviembre de 2018 a las 11:00 horas.

Lugar: Aula 1-29M, Aulario I

15/11/2018
Conference Javier Girón - El control de la incertidumbre

En el estudio de los fenómenos aleatorios y en la mayoría de los problemas de decisión, aparece de forma natural la incertidumbre. Lo que observamos, y podemos medir, es solo una posibilidad entre muchas —como en el lanzamiento de una moneda— y, de algún modo, necesitamos de una escala que nos represente la verosimilitud de lo realmente observado en relación con el resto. En otras ocasiones, ni siquiera existe la posibilidad de observar la realización de un suceso. Una de las escalas para medir la incertidumbre, quizás la más utilizada, es la probabilidad.

 

Fecha: Lunes, 19 de noviembre de 2018 a las 11:00 horas.

Lugar: Aula 1-29M, Aulario I

09/11/2018
Conference Paulo Almeida - Superregular matrices over small finite fields

Several notions of superregular (or totally positive) matrices have appeared in different areas of mathematics and engineering, having in common the specification of some properties regarding their minors. In the context of Coding Theory these matrices have entries in a finite field F and are important because they can be used to generate linear codes with optimal distance properties. For us, a matrix is superregular if all of its minors that are not trivially zero are nonzero. Superregular matrices with no zero entries are well understood and concrete constructions over small fields are known, e. g. Cauchy matrices. There also exist a few general constructions of superregular matrices having a lower triangular Toeplitz structure, but all of them require very large field sizes. In this work we study the existence and construction of lower triangular Toeplitz superregular matrices over small finite fields. For instance, given the order of a matrix, we investigate the size of the smallest finite field for which it is possible to obtain such matrices.

Date: Tuesday, 13th november, 10:00h
Place: Ecology Seminar

26/10/2018
Talk - On pessimistic bilevel optimization - Oliver Stein

Abstract: Pessimistic bilevel optimization problems, as optimistic ones, possess a structure involving three interrelated optimization problems. Moreover, their finite infima are only attained under strong conditions. We address these difficulties within a framework of moderate assumptions and a perturbation approach which allow us to approximate such finite infima arbitrarily well by minimal values of a sequence of solvable single-level problems. To this end, we introduce the standard version of the pessimistic bilevel problem.
For its algorithmic treatment, we reformulate it as a standard optimistic bilevel program with a two follower Nash game in the lower level. The latter lower level game, in turn, is replaced by its Karush-Kuhn-Tucker conditions, resulting in a single-level mathematical program with complementarity constraints.

Date: Tuesday, October 30th, 13:00h.
Place: Seminario de Matemáticas, Facultad de Ciencias.

26/10/2018
Interview - A challenge for young mathematicians: Creating your own firm - Marion Kaiser

Abstract: Through an interview conducted by Fran Aragón, Marion Kaiser will firstly describe her experience as consultant for two important insurance companies, where she made use of her mathematical education through the self-study of the main tools in this area: actuarial and financial mathematics. Then she will explain to the audience the way she decided to create her own firm, AKTUARIAT KAISER, the difficulties encountered to get the necessary financial support, the advantages and disadvantages of being a woman in the business world, the recruitment policy of her firm, etc.

 

Date: Tuesday, October 30th, 12:00h.
Place: Aulario, Aula 1-59M.

26/10/2018
Talk - Coercive polynomials and their Newton polytopes - Oliver Stein

Abstract: Many interesting properties of polynomials are closely related to the geometry of their Newton polytopes. In this talk we analyze the coercivity on R^n of multivariate polynomials f in R[x] in terms of their so-called Newton polytopes at infinity. In fact, we introduce the broad class of so-called gem regular polynomials and characterize their coercivity via conditions solely containing information about the geometry of the vertex set of the Newton polytope at infinity, as well as sign conditions on the corresponding polynomial coefficients. For gem irregular polynomials, we introduce sufficient and, in some cases, also necessary conditions for coercivity based on so-called circuit numbers.

 

Date: Tuesday, October 30th, 11:00h.
Place: Aulario, Aula 1-59M.

19/10/2018
Talk - Solving Rubik's cube and other puzzles with Group Theory - Victor Sotomayor

La modelización matemática de juegos, puzzles y entrenimientos puede ser una eficaz herramienta para incentivar la motivación en el aprendizaje de estructuras algebraicas abstractas. Al mismo tiempo nos permiten mostrar aplicaciones prácticas y lúdicas de dichos conceptos teóricos. En esta línea, el objetivo de esta comunicación es ver cómo modelizar y analizar la resolubilidad de algunos puzzles y rompecabezas matemáticos, haciendo uso de conceptos básicos de la teoría de grupos y del sistema algebraico computacional GAP (Groups, Algorithms and Programming).

Department of Mathematics


Universidad de Alicante
Carretera de San Vicente del Raspeig s/n
03690 San Vicente del Raspeig
Alicante (Spain)

Tel: (+34) 96 590 3531

Fax: (+34) 96 590 3531

For further information: informacio@ua.es, and for enquiries on this web server: webmaster@ua.es

Carretera San Vicente del Raspeig s/n - 03690 San Vicente del Raspeig - Alicante - Tel. 96 590 3400 - Fax 96 590 3464