报告题目： The Invariant Geometric Flows in Affine-related Geometries

报告人：屈长征 教授，宁波大学

报告时间： 2021年2月5日(周五) 14:00--15:00

腾讯会议号：32633926612

摘要：Invariant geometric flows in certain geometries have been studied extensively from dif- ferent 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 integrable geometric flows corresponding to some solutions of the systems will be studied. Second, the geometric formulations to integrability features of the resulting systems are addressed. Finally, we study the heat flows for curves in those geometries. Their different features of the heat flows in those geometries will be discussed.