Study on Homeomorphism Group

(1)我在2002年12月、2004年2月和2004年12月(京都产学研大学)组织召开了“同胚群及其相关领域”年会，并与安倍晋三(K.Abe)联合作了一次演讲。(2)我和T.Nakamura在日本数学学会年会(2002年9月，岛根大学)上作了题为“Lipschitz映射的拓扑和代数性质”的报告，并发表了题为“Lipschitz映射的拓扑性质”的论文。(4)我参加了2003年国际会议《几何与叶变换》(琉球大学，京都，2003年9月)，并作了题为《关于等变差同胚群的结构及其在叶中的应用》的报告(东京大学，东京大学，2003年9月)。(6)我(与K.Abe和T.Miura)提交了题为“关于等变Lipschitz同胚群的第一同调”的论文。(7)我和K.Abe提交了题为“关于具有几何结构的流形的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".