为了加强青年几何分析学者之间的交流和促进彼此的合作,我们邀请了来自中科大、厦大、北师大的3位青年几何分析学者到中国人民大学信息学院,于2017年2月23日上午在中国人民大学第三公共教学楼3202召开为期半天的小组会议。欢迎有兴趣的师生前来参加!
此次会议不收取注册费,鉴于财力,住宿费和交通费自理。
中国人民大学信息学院
邀请人: 杨云雁、朱晓宝
Email: zhuxiaobao@amss.ac.cn
会议安排
(Place: 3202 room, the 3th Teaching Building(三教), RUC)
第一个报告:宋翀(厦门大学)
Time: 8:40~9:40
Title: Uniqueness of Schrodinger flow on manifolds
Abstract: We will give a geometric proof of the uniqueness of Schrodinger flow, which, compared to the direct method, reduces the requirement of regularity of the solution. This is a joint work with Youde Wang.
第二个报告:殷浩(中国科学技术大学)
Time: 9:50~10:50
Title: Regularity theory of some minimizers of variational problem
Abstract: In this talk, we present a classical theory about the regularity of minimizers of some energy functionals, including the harmonic map energy as a special case. More precisely, we will talk about Caccioppoli inquality and reverse Holder inequality, which are due to Giaquinta and Giusti in the 80's.
第三个报告:赵亮(北京师范大学)
Time: 11:00~12:00
Title: Blow-up analysis for harmonic maps into Lorentzian manifolds
Abstract: For a sequence of harmonic maps into a Lorentzian manifold with their tension fields bounded in L^2, we prove that the energy identities hold during the blow-up process. Moreover, for a special case, we prove that there is no neck. As an application, we consider the blow-up picture of singularities for a Lorentzian harmonic map flow.