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

主要学术研讨会有：1)“代数几何与退化、覆盖与奇点的拓扑学”，2000年2月，东北学府大学。组委会：T.Ashikaga，S.Ogata，K.Konno。不同分支之间存在着相互作用。2)2000年7月，长野举行的世界学术研讨会“2000年阿祖米诺的代数几何”。组委会：M.Green，L.Illusie，K.Kato，E.Looijenga，S.Mukai，S.Saito，S.Usui(首席)有150名代表，其中包括60名来自日本以外的人，他们享受着激动人心的讨论。该项目的主要活动是成功的。3)世界研讨会“东亚的代数几何”，2001年8月，京都国际高级研究所。组委会：K.Konno，A.Moriwaki，N.Nakayama，A.Ohbuhi(首席)，S.Usui大约有60名提名人，其中15人来自日本以外的国家，主要是东亚国家，他们享受着激动人心的讨论。本次研讨会可能会继续在东亚各国举行。4)“代数几何研讨会”，兵库市木崎。这是日本最大的年度代数几何研讨会。1999年11月，组委会：Konno，T.USA。2000年10月，组委会：F.Kato，K.Ohno。2001年10月，组委会：M.Kobayashi，H.Tokunag.5)《霍奇理论与代数几何》。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、筑井先生、宇井先生。2001年11月，大阪大学，组委会：M.Asakura，S.Saito，I.Satake，S.Usu.个人研究的主要结果是K.Kato和S.Usui构造了对数Hodge结构的精细模。本项目成员的其他研究成果可在下面的参考文献列表中找到。

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.