PT EN

Algebraic Geometry

Program

Affine varieties. Zariski's topology. Hilbert's Basis Theorem and Nullstellensatz. Spectrum of a ring. Projective varieties. Sheaves, schemes and algebraic varieties. Irreducibility and dimension. Morphisms of algebraic varieties.
One or more of the following additional topics may be covered:
Algebraic curves, Serre duality, the Riemann-Roch Theorem, sheaf cohomology.

Research and Events

Events

  • Representations of fundamental groups of surfaces
    Peter Gothen (CMUP)
    15:30, Room 2.5, UC Math. Dept.
    (Seminar)
    November 23, 2018
  • On the existence of solutions for inextensible string equations
    Ayk Telciyan (student)
    12:30, Room 2.5, UC Math. Dept.
    (Seminar)
    November 23, 2018
  • Boolean representable simplicial complexes
    Maria Inês Couto (student)
    12:00, Room 2.5, UC Math. Dept.
    (Seminar)
    November 23, 2018
  • Campanato spaces and applications in partial differential equations
    David Jesus (student)
    11:30, Room 2.5, UC Math. Dept.
    (Seminar)
    November 23, 2018
  • A mathematical model for a plant circadian oscillator
    Adérito Araújo (CMUC)
    14:00, Room 2.5, UC Math. Dept.
    (Seminar)
    November 28, 2018
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Defended Theses

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