Seminars



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On a geometric characterization of the first nontrivial eigenvalue of the Neumann 1-Laplacian operator
2026-05-08
Speaker: Delia Schiera (IST, Univ. de Lisboa)
We investigate an eigenvalue problem involving the 1-Laplacian operator on bounded domains with Neumann boundary conditions. The problem is not well posed in standard Sobolev spaces and must be studied in the space of functions of bounded variation, using tools from nonsmooth analysis. We...

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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2026-06-16
Speaker: Rafael Díaz Fuentes (Università di Cagliari, Italy)
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2026-06-19
Speaker: Irene Fonseca (Carnegie Mellon University, USA)
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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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