积分几何,凸几何与离散几何讲习班

积分几何与凸几何，与概率论、分析、偏微分方程等密切相关，起源于Buffon投针实验.Blaschke在汉堡组织了陈省身、吴大任、严志达、Santalo等参加的“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，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.陈省身、苏步青、任德麟等的先驱工作影响着积分几何与凸几何的发展，积分几何是具有浓浓中国传统和色彩的数学分支.周家足、张高勇，黄勇等中国学者在等周问题，几何不等式，Minkowski问题等取得了重要进展和突破. 宗传明研究离散几何领域中的Borsuk猜想、Hadwiger猜想、Kepler猜想等并取得重要进展. 为推动积分几何、凸几何与离散几何研究，将举办“积分几何、凸几何与离散几何讲习班”，邀请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、凸几何与离散几何相关课程和专题讲座.

Integral geometry and convex geometry, originated from Buffon's needle experiment, are closely related to probobality theory, analysis, PDE and other mathematical branches. Blaschke's integral geometry seminar in Hamburg, Germany, initiated the investigation on global property of convex bodies with ideas and methods of probability and analysis. S. S. Chern, D. Wu, Z. Yan and Santalo were in the seminar. 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. Chern, Buqin Su, Delin Ren. J. Zhou, G. Zhang, Y. Huang and other Chinese mathematicians have important works and contributions in isoperimetric problem, geometric inequalities, Minkowski problems. C. Zong investigated Borsuk’s conjecture、Hadwiger’s conjecture and Kepler’s conjecture and achieved important progress..To enhance and motivate the research and development of integral geometry, convex geometry and discrete geometry, we plan to have “Workshop on Integral Geometry, Convex Geometry and Discrete Geometry” in Southwest University, China in the summer 2023. About 3-6 known international researchers and professors in these areas will be invited to give lectures and short courses on integral geometry, convex geometry and discrete geometry for young Chinese researchers and graduate students.