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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

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Defended Theses

  • Asymptoptic invariants of Eulerian ideals
      Gonçalo Nuno Mota Varejão (December 2025)
      Jorge Neves
  • Some analytic and algebraic problems in the theory of orthogonal polynomials
      Alexandre Suzuki (November 2025)
      Kenier Castillo
  • Contributions to the theory of metric mean dimension
      Gustavo Sperotto Pessil (September 2025)
      Maria Pires de Carvalho
      Paulo Varandas
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