Seminars
Computation of first kind integral equations: A low rank approximation approach with Tau Toolbox
2025-03-07
Speaker: Paulo B. Vasconcelos (CMUP, Univ. Porto)
The Tau Toolbox, a mathematical library for integro-differential problems, has recently developed a 'polynomial' class. This class approximates functions using classical orthogonal polynomials, providing an efficient, user-friendly, and object-oriented framework. In this presentation, we...
Normed categories
2025-03-11
Speaker: Dirk Hofmann (CIDMA, Univ. Aveiro)
In this talk we investigate the notion of normed category: a category where each hom-set \( X(A,B) \) comes equipped with a norm \( X(A,B)\to [0, \infty] \), subject to suitable axioms. As suggested by Lawvere (1973), we treat normed categories consequentially as categories enriched in...
Introduction to Abstract Homotopy Theory
2025-03-11
Speaker: Beatriz Teixeira (Univ. Aveiro)
In broad terms, the main goal of homotopy theory is to study the objects of a category up to a "weak equivalence". These weak equivalences satisfy certain properties, that are also satisfied by isomorphisms, but with the downside that they are not always invertible. Thus, over the years,...
On quasi-orthogonal polynomials of order two
2025-03-14
Speaker: Vanessa Botta (São Paulo State Univ., Brazil)
TBA...
A metric modification approach to control
2025-03-19
Speaker: Jacob Goodman (Univ. Nebrija, Madrid, Spain)
Control theory plays a fundamental role in the modeling and trajectory planning of actuated dynamical systems. In recent decades, the use of differential geometric methods, namely Lagrangian and Hamiltonian mechanics, has become prevalent within the control theory literature due to the...
TBA
2025-03-21
Speaker: Ana Luísa Custódio (NOVA Math)
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2025-03-21
Speaker: Aleksei Kroshnin (WIAS, Berlin, Germany)
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PB-groupoids vs VB-groupoids
2025-03-26
Speaker: Francesco Cattafi (Univ. Würzburg, Germany)
It is well known that the collection of linear frames of a smooth n-manifold M defines a principal GL(n, R)-bundle over M (called the frame bundle); more generally, this construction makes sense for any vector bundle over M. Conversely, any principal bundle together with a representation...
TBA
2025-03-28
Speaker: Hugo Lavenant (Bocconi Univ., Milan, Italy)
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The inhomogeneous multispecies PushTASEP and Macdonald polynomials
2025-03-28
Speaker: Arvind Ayyer (Indian Institute of Science, Bangalore, India)
The inhomogeneous multispecies PushTASEP is an interacting particle system with multiple species of particles on a finite ring where the hopping rates are site-dependent. (The homogeneous variant on \( \mathbb Z \) is also known as the Hammersley-Aldous-Diaconis process.) In its simplest...
Painlevé equations and orthogonal polynomials
2025-04-01
Speaker: Galina Filipuk (University of Warsaw, Poland)
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2025-04-22
Speaker: Norihiro Yamada (CMUC, Univ. Coimbra)
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2025-04-22
Speaker: Lurdes Sousa (CMUC, IP Viseu)
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2025-04-29
Speaker: Carlos Gustavo Moreira (IMPA, Brazil)
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Vieta-Lucas wavelets
2025-05-06
Speaker: Emanuel Guariglia (Wenzhou-Kean University, China)
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Fractal behavior of tensor powers of the two-dimensional space in prime characteristic
2025-05-22
Speaker: Pavel Etingof (MIT, Cambridge, USA)
TBA...
Polynomials whose roots are the differences of the roots of a given polynomial
2025-06-03
Speaker: Manuel A. Facas Vicente/José Vitória (University of Coimbra)
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2025-06-25
Speaker: Mateus Moreira de Melo (Univ. Fed. Espírito Santo, Brazil)
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Quasi-orthogonal polynomials and positive quadrature on the unit circle
2025-09-18
Speaker: Ruymán Cruz Barroso (University of La Laguna, Spain)
TBA...
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