时间：2026年6月22日(星期一)，10:00-11:00
地点：E14-215
主讲人：上海交通大学，楼元
主讲人简介：1995年博士毕业于美国明尼苏达大学，1995-1998在伯克利数学研究所和芝加哥大学做博士后，1998-2021任教于俄亥俄州立大学，2009-2013任数学生物研究所副所长，2022年起任上海交通大学数学科学学院讲席教授并担任院长。其研究兴趣是偏微分方程在生物学中的应用，发表论文150余篇，担任DCDS-B共同主编及多个国内外期刊编委。
报告主题：Structured PDE Models, Eigenvalues, and Biological Evolution
报告摘要：In the process of biological evolution, we often observe the emergence of certain specific traits (such as particular resource utilization patterns) within populations, forming what are known as "evolutionarily stable strategies." This talk aims to explore how structured models based on partial differential equations, together with the principal eigenvalue theory for second order elliptic operators, can be used to mathematically explore the emerging mechanisms of these dominant traits. The idea is to interpret the fitness of a population as the principal eigenvalue of some related differential operator, and then to locate evolutionarily stable strategies by examining the extremal behavior of the eigenvalue as it varies with the advantageous traits.
