Study on Homeomorphism Group

(1)组织了“同胚性组及其相关领域”年会（2002年12月，2004年2月，2004年12月，京都工业大学），每次都有演讲（与安倍K.联合）。(2) I和T.Nakamura在日本数学学会年会上（2002年9月，岛根大学）作了题为“Lipschitz映射的拓扑和代数性质”的演讲，并发表了题为“Lipschitz映射的拓扑性质”的论文。(3) 2003年8月参加“3^<rd>变换群研讨会”（波兰波兹南），并作了题为“Lipschitz同纯的交换子保持几何结构”的演讲。(4)参加“几何学与叶理学，京都2003”国际会议（琉球大学，京都，2003年9月），并发表题为“Lipschitz同同态的对易子”的演讲。(5)在2004年10月东京大学“叶学与相关领域”会议上作了题为“关于等变微分同构群的结构及其在叶学中的应用”的报告。(6)我（与k.a abe和T.Miura）发表了一篇题为“关于等变Lipschitz同胚群的第一同调”的论文。(7) I和K.Abe提交了一篇题为“关于几何结构流形自同构群的第一同调”的论文。

(1) I organized the annual meeting "Homeomorphism Group and its related fields" (December of 2002, February of 2004 and December of 2004, (Kyoto Sangyo University) and I gave a talk (joint with K. Abe) everytime.(2) I and T.Nakamura gave a talk entitled "Topological and algebraic properties of Lipschitz mappings" in the annual meeting of the Mathematical Society of Japan (September of 2002, Shimane University) and published a paper entitled "A topological property of Lipschitz mappings".(3) I participated in "3^<rd> Workshop on Transformation Groups" (Poznan, Poland, August of 2003) and gave a talk entitled "Commutators of Lipschitz homeomorphisms preserving a geometric structure".(4) I participated in the International Conference "Geometry and Foliations, Kyoto 2003" (Ryukoku University, Kyoto, September of 2003) and gave a talk entitled "Commutators of Lipschitz homeomorphisms".(5) I gave a talk entitled "On the structure of the group of equivariant diffeomorphisms and application to foliation" in the meeting "Foliations and related fields" (Tokyo University, October of 2004).(6) I (with K.Abe and T.Miura) submitted a paper entitled "On the first homology of the group of equivariant Lipschitz homeomorphisms".(7) I and K.Abe submitted a paper entitled "On the first homology of automorphism groups of manifols with geometric structures".