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Department of mathematics

Information about mathematics

 

NEWS & EVENTS

18/02/2020
Conference - Mathematics: Mastery and power - Alfonso J. Bello

Las finanzas es una disciplina muy presente en nuestra vida cotidiana: cuentas bancarias, préstamos, hipotecas, IRPF, pagos de impuestos aplazados… Sin embargo, tradicionalmente, la ignorancia del ciudadano español en el tema supera lo deseable y parece ser una asignatura pendiente de nuestro sistema educativo.
En este seminario se introducirá el mundo financiero y las matemáticas que este encierra. Partiendo de la estructura temporal del dinero, se indicará cómo se construyen las curvas de tipos de interés y los principales instrumentos de interés, para finalmente pasar a presentar el mundo especulativo de los mercados de valores y sus derivados financieros. Se comentará el principal entramado empresarial financiero y el, cada vez más predominante, papel de los matemáticos en este.

 

Date: February 21st, from 10:00 to 11:00h.

Location: Aulario I, A1/1-59M.

18/02/2020
Talk - Hidden properties of the Euclidean division by a in base b - Jean-Éric Pin

En esta charla haremos una excursión matemática alrededor de la división euclidiana. Primero, mostraremos cómo realizar la división euclidiana usando un autómata secuencial y veremos en qué caso el monoide de transición de este autómata es un p-grupo. Luego aplicaremos a la división euclidiana la fórmula de la diferencia hacia delante de Newton (http://mathworld.wolfram.com/NewtonsForwardDifferenceFormula.html) y su versión no conmutativa. Si tenemos tiempo, veremos aplicaciones al análisis p-ádico no conmutativo.

 

Date: February 19th, 16:00h.

Location: Math Seminar, Science Building II.

23/01/2020
Conference - Detecting and controlling the size of critical values: from Classical to Nonsmooth Analysis- Aris Daniilidis

In the beginning of the talk I will survey classical results concerning the shape and size of critical points/values from the optimization viewpoint. I will progressively move from smooth to Lipschitz continuous functions, where tools of nonsmooth analysis, such as the Clarke subdifferential, come into play. This brings us naturally to the notion of nonsmooth criticality.
I will first explain, at a general level, that structural assumptions on the function, such as semialgebraicity, or being continuous selection of a family of smooth functions with a control on cardinality, will ensure powerful results on the size of generalized critical values. I will also discuss theoretical results on how to measure pathological situations, involving Baire-categoric arguments or purely algebraic tools.

If time allows, I will discuss on the efficiency of (nonsmooth) first-order methods to detect (generalized) critical points.
The talk is built upon results obtained with Barbet, Bolte, Dambrine, Drusviatskiy, Ley, Lewis, Mazet, Rifford, Shiota.

 

Date: January, 30th, 13:05h.

Location: Math Seminar, Science Building II.

 

21/01/2020
Talk - Reverse Minkowski and Aleksandrov-Fenchel Inequalities, by Karoly J. Böröczky

Around 1992, Uli Betke and Wolfgang Weil proved a reverse Minkowski inequality for the mixed area in terms of the perimeter where equality occurs for orthogonal segments. This inequality is generalized to higher dimensions where the most general version ("Reverse Alexandrov-Fenchel inequality") is only  verified for zonoids. Stability versions are also discussed. Joint work with Daniel Hug.

 

Date: January, 27th, 13:00h.

Location: Math Seminar, Science Building II.

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

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