Fundamental forms of algebraic variables

Title: Fundamental forms of algebraic variables

Speaker: Professor Wenbo Niu (University of Arkansas)

Time: 2023.06.13, 16:00-17:00

Location: 204, Building 2, Hainayuan

Abstract: Fundamental forms can be thought of as linear systems attached to the projectivization of Zariski tangent space at a nonsingular point of a variety. It was developed by the method of moving frames in differential geometry. In 1979, Griffths-Harris used fundamental forms to study geometry of algebraic varieties and observed some vanishing phenomena. In this talk, I will give a purely algebraic approach to the theory of fundamental forms without using moving frames. Furthermore, I will extend the vanishing of fundamental obtained by Griffths-Harris and Landsberg to arbitrary order of fundamental forms. This is a joint work with L. Ein.