MENU

You are here

Almost-complex and generalized complex geometries

Lecturer: 
Course Type: 
PhD Course
Academic Year: 
2020-2021
Period: 
January-March
Duration: 
35 h
Description: 

Topics to be covered:

  1. Symplectic and Kähler structures;
  2. Hermitian structures;
  3. Almost-complex structures and integrability;
  4. Obstructions to the existence of an almost-complex structure;
  5. Cohomology of almost-complex manifolds;
  6. Courant bracket and Dirac structures;
  7. Generalized complex structures;
  8. Submanifolds of generalized complex structures;
  9. Generalized Kähler structures.

Bibliography:

  • R. Bryant, On the geometry of almost-complex manifolds. Asian J. Math. 10 (2006), 561 - 605;
  • M. Gualtieri, Generalized complex geometry. arXiv:math/0401221, January 2004;
  • M. Gualtieri, Generalized complex geometry. Ann. of Math. 2 (2011), 75--123;
  • N. Hitchin, Generalized Calabi-Yau manifolds, Q. J. Math. 54 (2003), 281 -308;
  • N. Hitchin, Lectures on generalized geometry. arXiv:math.DG:1008.0973, August 2010.
Location: 
A-136
Next Lectures: 
Monday, January 25, 2021 - 14:00 to 16:00
Wednesday, January 27, 2021 - 11:00 to 13:00
Friday, January 29, 2021 - 11:00 to 13:00
Monday, February 1, 2021 - 14:00 to 16:00
Wednesday, February 3, 2021 - 11:00 to 13:00
Friday, February 5, 2021 - 11:00 to 13:00
Monday, February 8, 2021 - 14:00 to 16:00
Wednesday, February 10, 2021 - 11:00 to 13:00
Friday, February 12, 2021 - 11:00 to 13:00
Monday, February 15, 2021 - 14:00 to 16:00
Wednesday, February 17, 2021 - 11:00 to 13:00
Friday, February 19, 2021 - 11:00 to 13:00
Monday, February 22, 2021 - 14:00 to 16:00

Sign in