Mixed Hodge theory of complex algebraic varieties
Student No.:50
Time:Tue/Thu 10:10-12:00, 2014-10-9~2014-12-4
Instructor:Joseph Steenbrink  [Radboud University in Nijmegen]
Place:Conference Room 1, Floor 1, jin Chun Yuan West Building
Starting Date:2014-10-9
Ending Date:2014-12-4



Last year we dealt with the Hodge decomposition of the cohomology of compact Kähler manifolds, e.g. smooth complex projective varieties. Moreover we treated some simple examples of mixed Hodge structures. In this course we will deal with the construction by P. deligne of a canonical and functorial mixed Hodge structure on the cohomology of an arbitrary complex algebraic variety.





The notes of the course of last year, to be found on the MSC website, are recommended. Moreover, a basic course in algebraic geometry is required.




Joseph Steenbrink: Hodge Theory. Notes of a course at the mathematical Sciences Center, Tsinhua University, Fall 2013.

P. Deligne, Théorie de Hodge II. Publ. math. IHES 40 (1971), 5-57 

P. Deligne, Théorie de Hodge III. Publ. math. IHES 44 (1974), 5-77

Chris A.M. Peters and Joseph H.M. Steenbrink: Mixed Hodge Structures. Ergebnisse der Mathematik ud ihrer Grenzgebiete 3. Folge Volume 52. Springer 2008