Ekwiwariantne kohomologie w geometrii algebraicznej
Equivariant cohomology in algebraic geometry

• Notes for my lectures
• Some information about spectarl sequences (in Polish)
• Preliminary list of subjects of essays
• Oral exam: list of question
• List of problems:
  • 10 October
  • 17 October
  • 24 October
  • 31 October
  • 7 November
  • 14 November
  • 21 November
  • 28 November
  • 5 December
  • 12 December
  • 19 December
  • 9 January
  • 16 January
  • 23 January
• Some solutions
• Bibliography:
  • David Anderson and William Fulton: Equivariant Cohomology in Algebraic Geometry
    • short lecture notes
    • the textbook in preparation
  • V. Guillemin, S. Sternberg: Supersymmetry and Equivariant de Rham Theory (Springer 1999)
  • More readings:
    • generalities about actions:
      G. Bredon Introduction to Compact Transformation Groups, (Academic Press 1973)
    • on BB-decomposition:
      Andrzej Białynicki-Birula, James B. Carrell, William M. McGovern: Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action. (EMS, volume 131) [Carrell's part]
    • Arthur G. Wasserman, Equivariant differential topology. Topology 8 (1969), 127-150.
    • About Chern classes: Dale Husemoller, Fiber Bundles. GTM 20, Part III
• Syllabus in USOS
• Poster
• A simmilar course A.D. 2017 (in Polish) Topologia działania torusa
• Jan Rudnik's master thesis on Duistermaat-Heckman formula (in Polish)