活动地点：

活动类型：学术报告

主讲人：

活动时间：

活动内容：

Title: The Sacks-Uhlenbeck flow on Riemannian surfaces and its applications

Speaker：Min-Chun Hong （University of Queensland，Australia）

Abstract: In their well-known paper (Ann. Math. 1981), Sacks and Uhlenbeck proposed a family of the perturbed functional (now called the Sacks and Uhlenbeck functional) to establish many existence results of minimizers in a given homotopy class of maps.  In this talk, we study an alpha-flow for the Sacks-Uhlenbeck functional on Riemannian surfaces and prove that the limiting map by the alpha-flow is a weak solution to the harmonic map flow. By an application of the alpha-flow, we present a simple proof of an energy identity of a minimizing sequence in each homotopy class