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 be 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...
Quadratic-phase Fourier transform and related topics
2026-05-15
Speaker: Rita Guerra (Univ. de Aveiro)
In recent years, the quadratic-phase Fourier transform has been extensively studied. In this talk, we will present the quadratic-phase Fourier transform and some of its properties, namely an inversion theorem, a Riemann-Lebesgue lemma, a Plancherel lemma and a Hausdorff-Young inequality....
Smoluchowski coagulation equation with a flux of dust particles
2026-05-22
Speaker: Marina Ferreira (CNRS, University of Toulouse)
The Smoluchowski coagulation equation is a classical equation describing the distribution of particle sizes undergoing binary coagulation. Despite extensive study for over a century, it continues to pose significant analytical challenges, particularly concerning long-time behavior for...
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)
TBA...
TBA
2026-09-28
Speaker: Peter Gothen (Univ. of Porto)
TBA...
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...
© Centre for Mathematics, University of Coimbra, funded by

Financiado total ou parcialmente pela FCT, Fundação para a Ciência e a Tecnologia, I.P., sob o Financiamento de:
Projeto Estratégico com a referência DOI UID/00324/2025.  
https://doi.org/10.54499/UID/PRR/00324/2025    
UID/PRR/00324/2025  
https://doi.org/10.54499/UID/PRR2/00324/2025  
UID/PRR2/00324/2025
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