Research on Interactions of Algebraic Geometry, Hodge Theory and Logarithmic Geometry

1)“代数几何与退化、覆盖与奇点的拓扑学”，2000年2月，东北学院大学。组委会：足利T.，绪方S.，近野K.各个分支之间有相互作用。2)世界学术研讨会“代数几何2000，阿津野”，2000年7月，长野。组委会：M. Green， L. Illusie， K. Kato， E. Looijenga， S. Mukai， S. Saito， S.臼井（首席）有150名与会者，其中包括60名来自日本以外的与会者，他们进行了令人兴奋的讨论。这个项目的主要活动是成功的。3)“东亚代数几何”国际学术研讨会，2001年8月，日本京都国际高等研究院。组委会：Konno， A. Moriwaki， N. Nakayama， A. Ohbuchi（首席），S.臼井有大约60名与会者，其中包括15名来自日本以外的主要东亚国家的与会者，他们喜欢进行刺激的讨论。4)“代数几何研讨会”，木崎，兵库县。这是日本最大的代数几何年度研讨会。1999年11月，组委会：K. Konno， T. Usa。2000年10月，组委会：F. Kato， K. Ohno。2001年10月，组委会：M. Kobayashi， H. tokunag5)，“Hodge理论与代数几何”。这是一个持续了近20年的年度研讨会。1999年10月，鹿儿岛大学，组委会：浅仓先生，Tsuboi先生，臼井先生。2001年11月，大阪大学，组委会：浅仓先生、斋藤先生、竹竹先生、臼井先生。个别研究的主要成果是K. Kato和S. Usui构造对数Hodge结构的精细模。本项目成员的其他研究成果见下页的参考文献列表。

The main symposia held during the preiod :1) "Algebraic Geometry and Topology of Degenerations, Coverings and Singularities", February, 2000, Tohoku Gakuin University. Organizing Committee : T. Ashikaga, S. Ogata, K. Konno. There were interactions among verious branches.2) World Symposium "Algebraic Geometry 2000, Azumino", July 2000, Nagano. Organizing Committee : M. Green, L. Illusie, K. Kato, E. Looijenga, S. Mukai, S. Saito, S. Usui (Chief). There were 150 pRticitants, including 60 from out-side Japan, who enjoied stimulating discussions. The principal event of this project was successful.3) World Symposium "Algebraic Geometry in East Asia", August 2001, International Institute for Advanced Studies, Kyoto. Organizing Committee : K. Konno, A. Moriwaki, N. Nakayama, A. Ohbuchi (Chief), S. Usui. There were about 60 prticitants, including 15 from countries out-side Japan mainly in east Asia, who enjoied Stimulating discussions. This symposium will be probably continuously held in coutries in east Asia.4) "Algebraic Geometry Symposium", Kinosaki, Hyogo. This is the biggest annual symposium on Algebraic Geometry in Japan. November 1999, Organizing Committee : K. Konno, T. Usa. Ocober 2000, Organizing Committee : F. Kato, K. Ohno. October 2001, Organizing Committee : M. Kobayashi, H. Tokunaga.5) "Hodge athory and Algebraic Geometry". This is an annual symposium which continues almost 20 years. Ocober 1999, Kagoshima University, Organizing Committee : M. Asakura, S. Tsuboi, S. Usui. November 2001, Osaka University, Organizing Committee : M. Asakura, S. Saito, I. Satake, S. Usui.The main result of individual reaesrches is a construction of fine moduli of logarithmic Hodge Structures by K. Kato and S. Usui. The other reserch results by the members of this project are found in the list of references on the next pages.