报告题目：Spinor field equations and the problem of prescribing mean curvature on 2-sphere
报告人：徐甜 博士 天津大学应用数学中心
报告时间：2018年12月27日下午16：00-17：00
报告地点：数学楼623
摘要： In this talk, we shall consider the existence of solutions for the equation $D\psi=Q(x)|\psi|^{\frac2{m-1}}\psi$ on $S^m$, $m\geq2$, where $Q$ is a $C^2$ positive function. We prove that the set of $Q$'s for which a solution exists is dense, in $C^1$-topology, in the space of positive bounded smooth functions. When $m=2$, we relate the zero sets of a solution with the genus of a Riemannian surface. As a consequence, a prescribed mean curvature embedding theorem of 2-sphere into Euclidean 3-space is established.
报告人简介：徐甜博士2015毕业于中国科学院数学与系统科学研究院，于同年入职天津大学。2015年获得第十二届“钟家庆”数学奖，中国科学院百篇优秀博士论文奖。2017-2018在获得德国洪堡基金会资助，在德国吉森大学进行访问研究。
