Centre for Mathematics, University of Coimbra

Seminars

Poissonization of Jacobi manifolds

2025-03-17

Speaker: Gonçalo Oliveira (CMUC, UC|UP PhD student)

Symplectic and Poisson manifolds provide the setting for conservative classical mechanics (via the study of Hamiltonian systems). Related to them, contact manifolds provide a setting for the study of dissipative systems, among other applications. Jacobi manifolds generalize contact...

Recent developments in Direct Multisearch

2025-03-21

Speaker: Ana Luísa Custódio (NOVA School of Science and Technology and NOVA Math)

Direct Multisearch (DMS) is a well-established class of Multiobjective Derivative-free Optimization methods, widely used by the optimization community in practical applications and as benchmark for new solvers. In this talk, the key features of DMS will be described, convergence results and...

Entropic Wasserstein barycenters

2025-03-21

Speaker: Aleksei Kroshnin (WIAS, Berlin, Germany)

Wasserstein barycenters, introduced by M. Agueh and G. Carlier in 2011, is a non-linear average of probability measures with respect to the 2-Wasserstein geometry. Unfortunately, little is understood about their analytical and statistical properties outside of specific cases. This talk...

A metric modification approach to control

2025-03-21

Speaker: Jacob Goodman (Univ. Nebrija, Madrid, Spain)

Control theory plays a fundamental role in the modeling and trajectory planning of actuated dynamical systems. In recent decades, the use of differential geometric methods, namely Lagrangian and Hamiltonian mechanics, has become prevalent within the control theory literature due to the...

PB-groupoids vs VB-groupoids

2025-03-26

Speaker: Francesco Cattafi (Univ. Würzburg, Germany)

It is well known that the collection of linear frames of a smooth n-manifold M defines a principal GL(n, R)-bundle over M (called the frame bundle); more generally, this construction makes sense for any vector bundle over M. Conversely, any principal bundle together with a representation...

Gradient flows in the geometry of Sinkhorn divergences

2025-03-28

Speaker: Hugo Lavenant (Bocconi Univ., Milan, Italy)

Wasserstein gradient flows define evolution equations in the space of measures which play a fundamental role in PDEs, probability theory, and machine learning. But what happens when entropic optimal transport is used, instead of classical optimal transport defining the Wasserstein geometry?...

The inhomogeneous multispecies PushTASEP and Macdonald polynomials

2025-03-28

Speaker: Arvind Ayyer (Indian Institute of Science, Bangalore, India)

The inhomogeneous multispecies PushTASEP is an interacting particle system with multiple species of particles on a finite ring where the hopping rates are site-dependent. (The homogeneous variant on \( \mathbb Z \) is also known as the Hammersley-Aldous-Diaconis process.) In its simplest...

Nitsche's finite element method for contact problems

2025-03-28

Speaker: Juha Videman (CAMGSD/IST, Univ. Lisboa)

Nitsche's method is a finite element technique, related to discontinuous Galerkin methods which is predates, that uses a weak formulation without Lagrange multipliers to take into account Dirichlet or contact boundary conditions. Although as such it often becomes...

Painlevé equations and orthogonal polynomials

2025-04-01

Speaker: Galina Filipuk (University of Warsaw, Poland)

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2025-04-22

Speaker: Norihiro Yamada (CMUC, Univ. Coimbra)

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2025-04-22

Speaker: Lurdes Sousa (CMUC, IP Viseu)

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2025-04-29

Speaker: Carlos Gustavo Moreira (IMPA, Brazil)

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Vieta-Lucas wavelets

2025-05-06

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

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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 (University of 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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2025-09-15

Speaker: Arno Kuijlaars (KU Leuven, Belgium)

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Quasi-orthogonal polynomials and positive quadrature on the unit circle

2025-09-18

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

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