Centre for Mathematics, University of Coimbra

Seminars

Fractal geometry of the Markov and Lagrange spectra and their set difference

2025-04-29

Speaker: Carlos Gustavo Moreira (IMPA, Brazil)

We will discuss some recent results on the fractal geometry of the Markov and Lagrange spectra, \( M \) and \( L \) which are classical objects from the theory of Diophantine approximations, and their set difference. In particular, we discuss recent results in collaboration with Erazo,...

Vieta-Lucas wavelets

2025-05-06

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

TBA...

Epithelial dysfunction as a decisive key in the prevention and treatment of inflammations - Mathematical modeling and computational simulations

2025-05-09

Speaker: Telma Silva (Univ. Cabo Verde)

Several diseases such as inflammation (e.g. chronic intestinal inflammation and chronic inflammatory disease in cardiovascular system), infections (e.g. infection of airway epithelium, human papillomavirus (HPV) infection and foot-and-mouth disease), acute lung injury, allergies and cancer...

Describing good objects in categories with weak algebraic properties

2025-05-13

Speaker: Andrea Montoli (Univ. degli Studi di Milano, Italy)

With the initial motivation of looking for a categorical characterization of groups among monoids, we introduced some conditions on objects in general categories, describing good algebraic properties holding locally for these objects although not globally in the category. These conditions,...

Generalized conjugacy separability in extensions of groups

2025-05-13

Speaker: André Carvalho (CMUP, Univ. Porto)

Separability properties in groups can be seen as an algebraic analogue of classical decision problems in finitely presented groups, as an argument by Mal'cev shows that if a subset S of a finitely presented group is recursively enumerable, separable and its image under a surjective...

Normed categories

2025-05-20

Speaker: Walter Tholen (York Univ., Toronto, Canada)

In this talk we explore Lawvere's notion of normed category through the lens of easily understood small and large example categories. Cauchy convergence of sequences in such categories gets presented as a natural extension of familiar concepts taught in Calculus and Functional Analysis, but...

Self-dual aspects of semi-abelian categories

2025-05-20

Speaker: Tim Van der Linden (Univ. catholique de Louvain and Vrije Univ. Brussel, Belgium)

The aim of this talk is to introduce di-exact categories [3], which are defined by a simple axiom system capturing self-dual aspects of the context of Janelidze-Márki-Tholen semi-abelian categories [2,1]. A Borceux-Bourn homological category [1] is Barr-exact if and only if it is di-exact....

Fractal behavior of tensor powers of the two-dimensional space in prime characteristic

2025-05-22

Speaker: Pavel Etingof (MIT, Cambridge, USA)

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Polynomials whose roots are the differences of the roots of a given polynomial

2025-06-03

Speaker: Manuel A. Facas Vicente/José Vitória (DMUC, Univ. Coimbra)

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2025-06-17

Speaker: Alfredo Costa (CMUC, Univ. Coimbra)

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2025-06-17

Speaker: Célia Borlido (CMUC, Univ. Coimbra)

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2025-06-24

Speaker: Semyon Yakubovich (Univ. Porto)

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2025-06-25

Speaker: Mateus Moreira de Melo (Univ. Fed. Espírito Santo, Brazil)

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Large random tilings of a hexagon

2025-09-15

Speaker: Arno Kuijlaars (KU Leuven, Belgium)

TBA...

Quasi-orthogonal polynomials and positive quadrature on the unit circle

2025-09-18

Speaker: Ruymán Cruz Barroso (University of La Laguna, Spain)

TBA...