On crystallization in the plane for pair potentials with an arbitrary norm
数学专题报告
报告题目(Title)：On crystallization in the plane for pair potentials with an arbitrary norm
报告人(Speaker)：Laurent Betermin (Université Claude Bernard Lyon 1)
地点(Place)：Zoom ID: 916 9421 3932, PWD: 821196
时间(Time)：2025 年 2月 27日 16：00—17：00
邀请人(Inviter)：熊金钢
报告摘要
Imagine N points on the plane interacting through a pair potential depending on distances, i.e. on the chosen norm. Imagine now that you want to minimize the potential energy of such system and that you wish optimal point configurations to be on a periodic structure, as atoms on a crystal. This is called a crystallization problem. What kind of potential should you choose to get such phenomenon? How the minimizing structure depends on the chosen norm? This is obviously a deep and complicated question that I will discuss in this talk, based on a joint work with Camille Furlanetto (Université Lyon 1).
* This PDE seminar is co-organized with Tianling Jin at HKUST and Juncheng Wei at CUHK. See the seminar webpage: https://www.math.hkust.edu.hk/~tianlingjin/PDEseminar.html
