本项目计划连续地用三到五年甚至更长的时间，瞄准Minkowskiw问题相关主流问题，以"学研"为出发点, 从凸几何、偏微分方程、质量输运三个专题基础开始, 在打好凸几何分析、Monge-Ampere方程理论、最优输运基础的同时向团队青年教师和研究生介绍Minkowski问题相关热门问题。在第一年的活动中,我们选择的前沿课题是和Brunn-Minkowski理论相关的问题, 通过对Aleksandrov混合体积不等式理论的学习，使研讨班成员和博士研究生了解、掌握相关研究涉及的重大问题、方法以及国际上该领域研究的一些最新进展，特别是研究Minkowski问题与Monge-Ampere方程的基本手方法和理论。推动湖南大学“偏微分方程与几何分析”团队的发展，加深国际同行特别是青年科研人员在该领域的合作研究。

The project plan continuously for three to five years or even longer time, aiming at the problems related to Minkowski problem, taking "study and research" as the starting point, Based on convex geometry, partial differential equation, mass transport, we will introduce some classical issues related to Minkowski problem and Monge-Ampere equations for the team of young teachers and graduate students. In the first year of this symposium, we are concerned with the Brunn-Minkowski theory and related problems, for example Aleksandrovs’ mixed volume theory, the symposium members and doctoral students will understand the related problems and methods as well as some of the latest research progress in the field, especially the method studying Minkowski problem and Monge-Ampere equation. It is to promote the development of the team of partial differential equations and geometric analysis in Hunan University, deepen the cooperation research of international peers, especially young researchers in this field.