Centre for Mathematics, University of Coimbra

Seminars

O ideal inicial de uma álgebra genérica Artiniana Gorenstein

2025-07-16

Speaker: Luís Duarte (Stockholm Univ., Sweden)

Nesta palestra procuraremos estudar o ideal inicial do ideal aniquilador de um polinómio homogéneo \( G \) de grau \( d \). Quando \( G \) é um polinómio genérico, mostramos que o ideal inicial é gerado pelos maiores monómios possíveis em cada grau. Mostramos também que o mesmo acontece se...

Heteroclinic lifting in coupled cell systems

2025-07-18

Speaker: Ana Paula Dias (CMUP, Univ. Porto)

The aim of this talk is to show how the simple robust Guckenheimer and Holmes (GH) heteroclinic network occurring in 3-dimensional symmetric systems of ordinary differential equations can be lifted to more complicated robust heteroclinic networks in higher-dimensional systems. We pose the...

Drazin inverses in (dagger) categories

2025-08-19

Speaker: Jean-Simon Pacaud Lemay (Macquarie Univ., Sydney, Australia)

Drazin inverses are a special kind of generalized inverse that have been extensively studied and have many applications in ring theory, semigroup theory, and matrix theory. Drazin inverses can also be defined for endomorphisms in any category. A natural question is whether one can extend the...

A general approach to pointfree \(T_0\) spaces

2025-08-19

Speaker: Anna Laura Suarez (Univ. Western Cape, South Africa)

The classical dual adjunction between frames and spaces, given by the functors \( O\colon \mathbf{Top}\to\mathbf{Frm} \) and \( \mathsf{pt}\colon\mathbf{Frm}\to\mathbf{Top} \), restricts to a dual equivalence between sober spaces and spatial frames. Another pointfree approach to the study of...

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...