*主持人:陈勇 教授
*时间:2020年12月3日16:00-17:00
*地点:腾讯会议ID:758 600 007
*讲座内容简介:
Invariant geometric flows in certain geometries have been studied extensively from different points of view. In this talk, we are mainly concerned with invariant geometric flows in centro-affine, centro-equiaffine and affine geometries. First, we show that the specific invariant geometric flows in centro-affine, centro-equiaffine and centro-affine geometries are related respectively to the well-known integrable systems. Those integable geometric flows corresponding to some solutions of integrable systems will be studied. Second, we study the heat flows for curves in those geometries. Their different features of the heat flows in those geometries will be addressed.
*主讲人简介:
屈长征教授,博士生导师,国家杰出青年基金获得者。主要从事不变几何流及其与可积系统的关系、 非线性偏微分方程的对称、 不变量、 几何性质及孤立波解稳定性的研究,在这些研究领域内开展了一系列具有国际先进水平的研究工作,成果发表在Comm. Math. Phys.,Adv. Math.,Arch. Rational Mech. Anal.,Math. Ann., J. Funct. Anal., J. Math. Pure Appl.,Nonlinearity 和J. Nonlinear Sci.等国际主流著名杂志上,多次被邀请在一些重要的国内外学术会议上做报告。现任《Stud. Appl. Math.》和《数学进展》编委。研究工作曾得到国家杰出青年基金、国家自然科学基金重点项目、国家自然科学面上基金、教育部高校博士点基金和教育部优秀青年教师等基金的支持。研究成果曾获得陕西省科技进步一等奖、二等奖和国家教委科技进步奖等。