报告题目：Progress in computing quasiperiodic systems

报告人：蒋凯

报告时间：2024年07月02日（周二）上午08:00开始

报告地点：数学楼315会议室

报告摘要：Quasiperiodic systems, related to irrational numbers, are important space-filling structures without decay nor translational invariance. How to numerically compute these incommensurate systems poses challenges. In the past years, accurate and efficient methods of quasicrystals have been developed. In this talk, we will present recently developed numerical methods for quasiperiodic systems, including periodic approximation method, projection method, and finite point recovery method. The corresponding approximation analysis will also be given. Then we will present some applications, including quasicrystals and their phase transitions, quasiperiodic homogenization, quasiperiodic Schrödinger systems, grain boundaries.

报告人简介：蒋凯，湘潭大学教授、国家高层次青年人才青年长江学者，主要从事无理数引发的数学与算法等方面的研究，近年来，在PNAS, SINUM, SISC, Macromolecules 等计算数学和交叉领域重要期刊发表论文多篇，主持国家重点研发计划项目课题1项，国家自然基金面上项目2项、青年项目1项，获湖南省杰出青年基金资助和中国计算数学学会优秀青年论文一等奖。