Working Seminar on Algebraic Geometry

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Centro de Análise Matemática, Geometria e Sistemas Dinâmicos
Topics to be discussed in the first sessions (two every month, 90 min. each):

Preparatory Material (Chapters 0 & 1 of [1])

  1. Sheaves and cohomology (Carlos Florentino)
  2. Vector bundles and Chern classes (Carlos Florentino)
  3. Hodge theorem (Rosa Durão)
  4. Lefschetz theorems (André Neves)
  5. Kodaira vanishing and embedding theorems (Stephen Lillywhite)
  6. Deformation theory (João Nunes)

Algebraic Curves (Chapter 2 of [1])

  1. Abel & Jacobi theorems (José Mourão)
  2. Complex tori and Abelian varieties (Michael Paluch)
  3. Curves and Jacobians (Rui Fernandes)

Further techniques (Chapter 3 of [1])

  1. Hirzebruch-Riemann-Roch theorem
  2. Lefschetz fixed point formula

Surfaces (Chapter 4 of [1])
[1] Griffiths & Harris, Principles of Algebraic Geometry , Wiley Interscience, 1978
If you want to receive regular information about our activities or for any other information related to the working seminars please send a message to: cfloren@math.ist.utl.pt