几何研讨班：Index theory on manifold with polytope singularities and Stoker's problem

中科院数学与系统科学研究院

数学研究所

学术报告

几何研讨班

报告人：王晋民 博士（Texas A&M)

题  目：Index theory on manifold with polytope singularities and Stoker's problem

时  间：2023.07.10（星期一）15:45-16:45

地  点：数学院南楼N933

摘  要：In his four lectures, Gromov fomulated a conjecture on dihedral rigidity for convex polyhedra. In this talk, I will present my recent works joint with Zhizhang Xie and Guoliang Yu that answers positively to this conjecture, and proves a more general dihedral rigidity for manifolds with polytope singularities. To solve this conjecture, we develop an index theory of Dirac-type operators on manifold with polytope singularities under certain boundary conditions. As a further application, we solve the Stoker problem for convex polyhedra in all dimensions.