报告人：张磊教授

报告题目：Unveiling the Multistability of Complex Systems: A New Horizon in the Solution Landscape

报告摘要：Nature is composed of various complex systems. One characteristic of complex systems is multistability or multiple equilibria. A long standing problem in computational science is how to efficiently find all possible stationary states of complex systems without relying on random guesses? We introduce a novel concept of  “Solution Landscape”, which is a pathway map consisting of all stationary points and their connections. We develop a series of generic saddle dynamics methods to construct the solution landscapes for different types of complex systems, which not only identifies all possible minima, but also advances our understanding of how a complex system navigates its landscape. We apply the solution landscape approach to target several challenging problems, including defect configurations of nematic liquid crystals, nucleation of quasicrystals, and excited states of rotational Bose–Einstein condensates, etc.

报告时间：5月13日下午15:00-17:30

腾讯会议：801-543-908

获取会议密码请联系：20B912016@stu.hit.edu.cn，或13940095271

报告人简介：张磊，北京大学北京国际数学研究中心博雅特聘教授，定量生物学中心、国际机器学习中心PI。2001年本科毕业于北京大学，2004年在中科院数学与系统科学研究院获硕士学位，2008年在美国宾州州立大学获博士学位。研究领域为计算和应用数学、交叉科学，包括稀有事件与解景观的算法与应用，数学与生命科学交叉，计算材料科学等。研究成果在PRL、PNAS、Acta Numerica、Science子刊、Cell子刊、SIAM系列期刊发表。主持国家基金委创新研究群体、国家杰出青年科学基金、科技部重点研发专项、基金委原创探索计划、基金委优秀青年科学基金、中组部高层次青年人才计划等项目。曾获第二届王选杰出青年学者奖（2021）、英国皇家学会牛顿高级学者（2018），目前担任“计算数学”副主编，SIAM J. Appl. Math, Science China Mathematics, CSIAM Trans. Appl. Math，The Innovation, Quantitative Biology等多个国内外期刊的编委。