PT EN

Geometry of Manifolds

Program

Topics will include vector bundles and principal bundles, connections and curvature, parallel transport and holonomy, de Rham cohomology and characteristic classes via curvature. There is a wide variety of possible further topics, for example sheaves and their cohomology, de Rham's Theorem, Hodge theory, complex manifolds and holomorphic bundles.

Research and Events

Events

  • Research Seminar Program (RSP)
    2024/2025
    University of Coimbra, FCTUC, Department of Mathematics, room 2.5
    December 16, 2024
  • PhD Defense
    Rafael Henriques - Numerical methods for the robust reconstruction of elasticity
    Sala José Anastácio da Cunha, Mathematical Building, Largo D. Dinis, Coimbra (14h30)
    January 6, 2025
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Defended Theses

  • Contributions to regularity theory in the calculus of variations
      Vincenzo Bianca (July 2024)
      José Miguel Urbano
  • Higgs Bundles and Geometric Structures
      Pedro Miguel Silva (April 2024)
      Peter Gothen
  • Some aspects of descent theory and applications
      Rui Rodrigues de Abreu Fernandes Prezado (January 2024)
      Maria Manuel Clementino
      Fernando Lucatelli Nunes
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