学术报告：Currents carried by the graphs of some set-valued maps and some applications

报告专家：涂强 博士 （武汉大学）

报告时间：2017年5月27日（周六）16：30—17：30

报告地点：数统学院201学术报告厅

专家简介：涂强博士现就读于武汉大学数学与统计学院。主要研究方向为几何分析与几何测度论。作为通讯作者和第一作者在《J. Math. Anal. Appl.》, 《Acta Math. Sci. Ser.B Engl. Ed.》期刊发表SCI论文2篇。

报告摘要：We mainly study the analytical properties of the Cartesian currents carried by graphs of some specific set-valued maps, including structure properties, weak continuity and approximability. Then we apply these results to study the Hessian measure, weak Jacobian and distributional determinant. Moreover，we obtain the weak continuous results and optimal results of distributional k-Hessian in the framework of Besov space.