Centre for Mathematics, University of Coimbra

Seminars

Intersection of random chords and the Dilogarithm

2025-01-24

Speaker: Cynthia Bortolotto (ETH Zurich, Switzerland)

In 1961, Jovan Karamata proved a remarkable identity involving the Dilogarithm function and intersection of diagonals of regular polygons. We reframe the problem and give different proofs for the result. We also investigate what happens when we consider different approaches to it. ...

Fourier Uncertainty and the Klein-Gordon equation

2025-01-24

Speaker: João Pedro Ramos (FCUL, Univ. Lisboa)

Since the conception of quantum mechanics, Uncertainty Principles have played a central role in Analysis and Partial Differential Equations. Indeed, from Heisenberg, through Hardy, and all the way to unique continuation, this rich topic has expanded to several new, exciting direction...

A brief introduction to Topological Automata

2025-02-04

Speaker: Diogo Abreu (CEMAT, Univ. Lisboa)

An essential element of the theory of rational languages is the link between them, finite automata, and finite monoids. The success of this relationship comes mostly from the fact that the structures involved are finite. However, when we try to expand this theory to more general languages,...

Categorical programming with MATLAB and Octave: An analysis of built-in functions and coequalizer implementation

2025-02-04

Speaker: Nelson Martins-Ferreira (CDRSP, ESTG, IP Leiria)

In this talk, we will examine standard built-in functions of computer programming, such as unique, ismember, sortrows, sparse, and others, by extracting their categorical properties. We will introduce a procedure to implement a programming function called coeq, which exhibits categorical...

Numerical methods for time-harmonic inverse scattering problems and some applications

2025-02-07

Speaker: Pedro Serranho (CIBIT/UC, CEMAT/UL, Univ. Aberta)

Wave scattering is present in many applications regarding non destructive testing, namely medical imaging. In particular, in the context of inverse scattering problems, the goal is to find unknown properties of the obstacle (scatterer) from the knowledge of the incident field and the...

Characterized subgroups of the circle group

2025-02-10

Speaker: Giuseppina Barbieri (Univ. Salerno, Italy)

TBA...

Polynomial and rational matrices with prescribed data

2025-02-18

Speaker: Foilán M. Dopico (Univ. Carlos III de Madrid, Spain)

TBA...

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2025-02-19

Speaker: Pedro Vaz (U.C. Louvain, Belgium)

TBA...

Analysis on finite spaces still be interesting

2025-03-04

Speaker: Persi Diaconis (Standford University, USA)

TBA...

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2025-03-11

Speaker: Dirk Hofmann (CIDMA, Univ. Aveiro)

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2025-03-11

Speaker: Beatriz Teixeira (Univ. Aveiro)

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On quasi-orthogonal polynomials of order two

2025-03-14

Speaker: Vanessa Botta (São Paulo State Univ., Brazil)

TBA...

Vieta-Lucas wavelets

2025-05-06

Speaker: Emanuel Guariglia (Wenzhou-Kean University, China)

TBA...