How to find a Fractal function from real data?

Speaker: Cristina Serpa (CMAFcIO).

Fractals are beautiful mathematical objects and are everywhere. It is possible and widely known how such objects are constructed mathematically. A fascinating challenge is how can a fractal pattern be mathematically found from real data? Let us remember that a fractal is chaotic, a dynamic system very sensitive to initial conditions. In this seminar I will present a method that I developed to find fractal functions that approximate real data.

Encontros Abertos do CMAFcIO

Este encontro científico visa dar a conhecer o trabalho dos membros do Centro de Matemática, Aplicações Fundamentais e Investigação Operacional (CMAFcIO), bem como o de colegas de áreas afins pertencentes a outras Unidades de Investigação e promover, na medida do possível, a interação entre os seus participantes.

O link da transmissão do evento é o seguinte:

Optimal design problems

Speaker: Elvira Zappale (Università Degli Studi di Salerno).

I will present several integral representation results for certain functionals arising in the context of optimal design and damage models, in presence of a perimeter penalization term. I will consider several frameworks, and I will also discuss the case with non-standard growth conditions.

To get access to the password, please register on the website or contact one of the organizers.

Noncommutative Weil conjectures

Speaker: Gonçalo Tabuada (FCTUNL).

Abstract: The Weil conjectures (proved by Deligne in the 70's) played a key role in the development of modern algebraic geometry. In this talk, making use of some recent topological "technology", I will extended the Weil conjectures from the realm of algebraic geometry to the broad noncommutative setting of differential graded categories. Moreover, I will prove the noncommutative Weil conjectures in some interesting cases.

Sharp lower bounds for Neumann eigenvalues

Speaker: Barbara Brandolini (Università Degli Studi di Napoli Federico II).

To get access to the password, please register on the website or contact one of the organizers.

The Lisbon Webinar in Analysis in Differential Equations is a joint iniciative of CAMGSD, CMAFcIO and GFM, three research centers of the University of Lisbon. It is aimed at filling the absence of face-to-face seminars and wishes to be a meeting point of mathematicians working in the field.