Centre for Mathematics, University of Coimbra

Seminars

Multiscale problems on irregular domains with virtual element discretizations

2026-05-12

Speaker: Juan Gabriel Calvo (Univ. of Costa Rica, Costa Rica)

In this talk, we present an efficient approach for solving multiscale PDEs with high-contrast coefficients, combining multiscale ideas with domain decomposition techniques on irregular subdomains. The method is based on the Virtual Element Method and uses generalized multiscale constructions...

Abelian categories, triangulated categories and 2-dimensional exactness

2026-05-12

Speaker: Elena Caviglia (Stellenbosch Univ., South Africa)

Abelian categories and triangulated categories provide fundamental frameworks to study homological and cohomological problems across algebraic geometry, topology and representation theory. In this talk we will explain how we can study the 2-category AbCat of abelian categories and the...

Monads, internal categories, and Galois descent

2026-05-12

Speaker: Sophie Esteves Marques (Univ. do Minho)

We present a monadic approach to actions of internal categories and connect it with a categorical formulation of Galois descent. Actions of internal categories are shown to a certain type of monad, while Galois descent is characterized as effective descent together with a pseudo-torsor...

Differential geometry of quaternionic manifolds - An introduction

2026-05-15

Speaker: Pedro Pessoa (CMUC, UC|UP PhD student)

We will give an overview of S. M. Salamon's article where he constructs invariant differential operators for quaternionic manifolds, which we will explore in more detail in the following sessions.Reference: S. M. Salamon, Differential geometry of quaternionic manifolds. Annales scientifiques...

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2026-05-15

Speaker: Rita Guerra (Univ. de Aveiro)

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2026-05-22

Speaker: Marina Ferreira (CNRS, University of Toulouse)

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Global regularity for reaction-cross-diffusion systems with nonlocal terms

2026-06-16

Speaker: Rafael Díaz Fuentes (Università di Cagliari, Italy)

Motivated by models of biological chemotaxis, we establish the global existence and boundedness of classical solutions for a class of strongly coupled parabolic systems involving cross-diffusion and nonlocal source terms. The key insight is that the pathway to proving global regularity...

From phase separation in heterogeneous media to learning training schemes for image denoising

2026-06-19

Speaker: Irene Fonseca (Carnegie Mellon University, USA)

What do these two themes have in common? Both are treated variationally, both deal with energies of different dimensionalities, concepts of geometric measure theory prevail in both, and higher order penalizations are considered. Will learning training schemes for choosing these...

Using symplectic groupoid multiplication for Poisson integrators

2026-06-24

Speaker: Alejandro Cabrera (Uni. Politècnica de Catalunya, Spain)

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2026-09-28

Speaker: Peter Gothen (Univ. of Porto)

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Universality and special functions

2026-10-22

Speaker: Thomas Kriecherbauer (Univ. of Bayreuth, Germany)

Universality is the somewhat surprising observation that the behavior of quite different models, sometimes even stemming from different branches of mathematics or physics, may be described by the same class of special functions. An example for this phenomenon that has attracted a good deal...

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