积分几何与凸体几何分析讲习班

Integral geometry, originated from Buffon's needle experiment, is closely related to functional analysis, PDE and other mathematical branches. Blaschke's seminar in Hamburg, Germany, initiated the global property of convex bodies with ideas and methods of probability and analysis. S. S. Chern,D. Wu, Z. Yan and Santalo were all in the seminar. S.S. Chern and Weil pioneered the integral geometry on homogeneous space by introducing the invariant measure on local compact group..Integral geometry is the mathematical branch developed with the Chinese traditional contributions and important works by S. S. Chern, Buqin Su, Delin Ren and others. Jiazu Zhou and Gaoyong Zhang are the first graduate students working on integral geometry in China led by Delin Ren. They have important warks and contributions in integral geometry. Recently, more young Chinese researchers including Yong Huang have great break through and pioneer works on isoperimetric problem and Minkowski problem that are appreciated and recognized in the international convex geometry society. .To enhance and motivate the research and development of integral geometry and convex geometric analysis (in China), we plan to have “Workshop on Integral Geometry and Geometric Analysis on Convex Bodies” in Southwest University, China in the summer 2021. About 4-8 known international researchers and professors in the areas will invited to give lectures and short courses on integral geometry and convex geometric analysis for young Chinese researchers and graduate students

积分几何起源于Buffon投针实验，与泛函分析、偏微分方程等密切相关.上世纪Blaschke在汉堡的“积分几何”讨论班，用概率论、分析思想和方法研究凸体的整体性质，成员包括了他的学生陈省身、吴大任、严志达、Santalo等，陈省身和Weil引入局部紧群上不变测度,奠基了齐性空间积分几何学..积分几何是具有浓浓中国传统和色彩的数学分支，陈省身、苏步青、任德麟等的先驱工作影响着积分几何与凸体几何学的发展.任德麟在中国的首批研究生周家足、张高勇作出了重要工作和突破.最近包括黄勇在内的青年学者在等周问题、Minkowski问题等作出了重要进展和突破.引起国际积分几何与凸体几何分析界的高度关注..为推动积分几何与凸体几何分析的发展和研究，计划在西南大学举办“积分几何与凸体几何分析讲习班”，邀请4-6名国际著名学者为国内高校青年学者和研究生讲授3门48小时的积分几何与凸体几何分析专题讲座.

积分几何起源于Buffon投针实验，与泛函分析、偏微分方程等密切相关.上世纪Blaschke在汉堡的“积分几何”讨论班，用概率论、分析思想和方法研究凸体的整体性质，成员包括了他的学生陈省身、吴大任、严志达、Santalo等，陈省身和Weil引入局部紧群上不变测度,奠基了齐性空间积分几何学.. 积分几何是具有浓浓中国传统和色彩的数学分支，陈省身、苏步青、任德麟等的先驱工作影响着积分几何与凸体几何学的发展.任德麟在中国的首批研究生周家足、张高勇作出了重要工作和突破.最近包括黄勇在内的青年学者在等周问题、Minkowski问题等作出了重要进展和突破.引起国际积分几何与凸体几何分析界的高度关注.. 为推动积分几何与凸体几何分析的发展和研究，按计划于2021年暑期在西南大学举办了“积分几何与凸体几何分析讲习班”，邀请了6名国际著名学者为国内高校青年学者和研究生讲授3门48小时的积分几何与凸体几何分析课程与专题讲座.. 参加讲习班的60多名名青年教师，博士生（部分硕士生）来自全国30多所高校，广东的部分博士生因疫情防控，参加了线上课程。所有参加讲习班的学员参加了讲习班后期的，由西南大学主办的“几何论坛”。