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

  • There is no information available on this topic.
More Events

Defended Theses

  • Some aspects of descent theory and applications
      Rui Rodrigues de Abreu Fernandes Prezado (January 2024)
      Maria Manuel Clementino
      Fernando Lucatelli Nunes
  • Comparability between different systems: star-shaped and convex transform orders
      Beatriz Ferreira Santos (December 2023)
      Paulo Eduardo Oliveira
      Idir Arab
  • On Lax Idempotent Monads in Topology
      Carlos Miguel Alves Fitas (December 2023)
      Maria Manuel Clementino
More Theses