Seminars
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)
TBA...
Sticky Brownian motion with infinite boundary diffusion
2026-04-17
Speaker: Léonard Monsaingeon (NOVA Math Lisbon & IECL Univ. de Lorraine)
Sticky Brownian motion is a stochastic process that alternates standard Brownian motion inside a given domain and tangential diffusion along its boundary. At the PDE level, the corresponding Fokker-Planck diffusion consists in a bulk/interface coupled system of parabolic PDEs with Wentzell...
Contact sub-Riemannian structures as non-transitive Cartan geometries
2026-04-22
Speaker: João Nuno Mestre (CMUC)
Cartan geometries are structures on manifolds which are infinitesimally modelled on homogeneous spaces. For example, Riemannian structures are infinitesimally modelled by the euclidean space. The classical theory deals with "transitive" Cartan geometries, where the infinitesimal model is the...
TBA
2026-04-24
Speaker: Gerardo Barrera (IST, Lisboa)
TBA...
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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2026-04-28
Speaker: Manuel Kahala Ostrogadsky (Univ. Agostinho Neto, Angola)
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Nerves of T-categories and powerful T-functors
2026-05-04
Speaker: Soichiro Fujii (Kyoto Univ., Japan)
Burroni's \( T \)-categories generalize internal categories, which themselves generalize ordinary (small) categories. The classical nerve construction assigns to a small category a simplicial set, and this construction extends routinely to internal categories: any internal category in a...
Coinductive reasoning for parametrized functors and monads
2026-05-04
Speaker: Zeinab Galal (Kyoto Univ., Japan
Lax extensions (also called relators or relation liftings) are a categorical notion for reasoning about functors acting on functions and relations in a compatible way. They play a central role in developing sound proof principles for behavioral equivalence of state-based systems and are also...
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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Using symplectic groupoid multiplication for Poisson integrators
2026-06-24
Speaker: Alejandro Cabrera (Uni. Politècnica de Catalunya, Spain)
TBA...
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2026-10-22
Speaker: Thomas Kriecherbauer (Univ. of Bayreuth, Germany)
TBA...
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