Some application of Hodge theory in Algebraic Geometry
Student No.:50
Time:Mon/Wed. 9:50-11:25, 11.6/ 11.8/ 11.13/ 11.15
Instructor:Zhang Yi  []
Place:Conference Room 4, Floor 2, Jin Chun Yuan West Building
Starting Date:2017-9-20
Ending Date:2017-11-15


In this seminar, I will discuss the following topics :

1, Hodge modules and positivity problems

2. compactifications of modulis of polarized algebraic manifolds.



basic algebraic geometry, complex analysis, basic homology algebra, Variations of Hodge structure.



1. Schnell,C : An overview of Morihiko Saito ‘s theory of mixed Hodge modules

2. Viehweg, E. : Positivity of direct image sheaves and applications to families of higher dimensional manifolds. 249-284, ICTP Lect. Notes, 6, Trieste, 2001.

3. Green-Griffiths-Laza-Robles : Completion of period mappings and ampleness of the Hodge bundles.

4. Schmid, W. :  Variation of Hodge Structure: The singularities
of the period mapping.} Invent. math.  22(1973) 211--319.