题 目：On some extremal problems for polygons in the Euclidean plane

报告人：Yu.G. Nikonorov

摘要 : This talk is devoted to some recent results on problems of isoperimetric type for convex polygons in the Euclidean plane. We discuss a number of results that have simple formulations, but rather intricate proofs. Much attention is paid to methods for solving extremal problems on the plane. Among these methods we can highlight various types of symmetrization and the use of computer technology to study auxiliary polynomial ideals. Related and still unsolved problems are also discussed. The main part of the talk is based on the following paper: 

Yu.G. Nikonorov, O.Yu. Nikonorova, Some extremal problems for polygons in the Euclidean plane, Aequationes Mathematicae (2023), https://doi.org/10.1007/s00010-023-00991-w

时间：2024年 3月25日15:00-16：00

地点：雷竞技raybat竞猜新教二727室

报告人简介：俄罗斯科学院南方数学所教授，研究领域：微分几何、李理论等