Centre for Mathematics, University of Coimbra

Seminars

Prolongations of G-structures as G^(1)-structures

2026-03-26

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

We will continue the study of a prolongation \( P^{(1)} \) of a \( G \)-structure \( P \) over \( M \): we will see how to understand \( P^{(1)} \) as a \( G^{(1)} \)-structure over \( P \), and analyse how much it depends on the choices made in the construction. ...

The logarithmic p-Laplacian: Bridging the identity and the p-Laplace operator

2026-03-27

Speaker: Sven Jarohs (Goethe-Universität, Frankfurt, Germany)

As an operator of order \( 0<2s<2 \), the fractional Laplacian plays a crucial role in connecting the identity operator to the classical Laplacian. To better understand this transition, a first-order expansion in \( s \) has recently been developed, offering new insights into this...

Higgs bundles and geometric structures through the Non-abelian Hodge Correspondence

2026-04-01

Speaker: Pedro M. Silva (Univ. Lisboa)

Higgs bundles are holomorphic objects which have become useful for understanding representations of the fundamental group of a closed surface into a Lie group. In this talk, we will present an overview of their theory, and how the Non-abelian Hodge correspondence can be used to study...

Quantization and Hamiltonian flows in imaginary time

2026-04-15

Speaker: João Pimentel Nunes (IST, Univ. Lisboa)

I will review the application of Hamiltonian flows in imaginary time to problems in geometric quantization. I will describe applications to symplectic toric manifolds and, time permitting, will also describe how this framework provides a geometric interpretation of the Peter-Weyl theorem....

Partial regularity in nonlocal problems

2026-04-16

Speaker: Giuseppe Mingione (Università di Parma, Italy)

The theory of partial regular regularity for elliptic systems replaces the classical De Giorgi-Nash-Moser one for scalar equations asserting that solutions are regular outside a negligible closed subset called the singular set. Eventually, Hausdorff dimension estimates on such a set can be...

Block eigenvalues and matrix roots of matrix polynomials: Applications to ordinary differential matrix equations and matrix differences equations

2026-04-17

Speaker: Manuel A. Facas Vicente & José Vitória (Univ. Coimbra, Portugal)

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On the protomodular and Mal'tsev properties for varieties of ordered algebras

2026-04-28

Speaker: Diana Rodelo (Univ. do Algarve)

The aim of the talk is to study the notions of lax protomodular category [1] and \( \mathsf{Ord} \)-Mal'tsev category [2] in the context of (coherent) varieties of (pre)ordered algebras and to compare them, as has been done in the non-ordered context. We characterise varieties of ordered...

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2026-05-04

Speaker: Soichiro Fujii (Kyoto Univ., Japan)

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2026-05-04

Speaker: Zeinab Galal (Kyoto Univ., Japan

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Can a non-trivial isometric quotient of the unit n-sphere be made arbitrarily small?

2026-05-07

Speaker: Claudio Gorodski (Univ. São Paulo, Brazil)

We will explain our proof of the existence of \( \varepsilon >0 \) such that every quotient of the unit sphere \( S^n (n\geq 2) \) by a isometric group action has diameter zero or at least \( \varepsilon \). The novelty is the independence of \( \varepsilon \) from \( n \). The...

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2026-05-12

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

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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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2026-10-22

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

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