张毅:Degenerated Hodge Structure and Application to Moduli Stack of Calabi-Yau (I)

2004-05-08 来源:数学科学研究中心

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活动类型:学术报告

主讲人:张毅

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活动内容:

2004  
   
Center of Mathematical Sciences
 at Zhejiang University
 学术演讲 

 


题目: Degenerated Hodge Structure and Application to Moduli Stack of Calabi-Yau (I)


演讲者:Dr. Yi Zhang


时间:2004年5月12 日(星期三) 9:00-12:00 am 


地点: 数学中心大楼202室

References

1. P. Deligne,Theorie de Hodge II,  I.H.E.S. 40 (1972)
2. P.Deligne La conjecture de Weil II, I.H.E.S 52 (1980)
3. Schmid, Variation of Hodge structure , Inventiones Math 22 1973.
4. Steenbrink, Limits of Hodge structure, Inventiones Math 31 1976
5. Mumford, Hirzebruch's proportionaslity theorem in non compact case. Invensiones Math 42 1977
6. Kawamata, Characterization of Abelain Varieties, Compostion 43,1981
7. Kawamata, Kodaira Dimesnsion of Algebraic Fiber space over curves, Inventiones Math 66 1982.
8. Kollar, Subadditivity of the Kodaira Dimension: Fibers of General Type. Adv Studies in Pure Mathematics 10, 1987.
9. Zucker,Hodge theory with degenerated cofficient, L2 cohomology in the Poincare metric,  Ann Math(2) 109 1979
10. Zucker & Steenbrink, Variation of mixed Hodge Structure II,  Inventiones Math 80 1985

Abstracts : In Lecture I, I will introduce VHS sketchly, the main objective of mine is to understand the infinity beharvior of Hodge structre under the condition of local Torelli, especially for case of Moduli space of Calabi-Yau.