Speaker: Jie Liu, Associate Researcher, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

Date: March 26, 2024

Time: 11:00-12:00

Location: B1032, Zhixin Building, Shandong University

Sponsor: School of Mathematics, Shandong University

Abstract:

The algebrac of symmetric tensors of a projective manifold is defined to be the global sections of symmetric powers of its tangent bundle. Despite its simple definition, this is an intriguing object, which is usually quite complicated, even for a variety as simple as the quadric. In this talk, I will survey some interesting examples by focusing on its relation with holomorphic symplectic geometry: algebraically complete integrable systems (ACIS) and symplectic singularities. I'll end with a theorem that bounds its (Krull) dimension in terms of the Kodaira dimension of X and also introduce some open questions. This is joint work with Arnaud Beauville.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/188778.htm