The VMRT structures and the deformation rigidity of rational homogeneous spaces

Abstract: In a series of works of Hwang and Mok, they studied extensively the deformation rigidity of rational homogeneous spaces of Picard number one. Inspired by these works, they conjecture that rational homogeneous spaces of Picard number one can be characterized by their VMRT's (varieties of minimal rational tangents). In this talk we will discuss on two related topics, one is the deformation rigidity of rational homogeneous spaces of higher Picard numbers, and the other is the verification of this characterization conjecture.

Mathematics

Audience: researchers in the topic

ICCM 2020