Seminars
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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