Speaker：Renjie LYU (Chinese Academy of Sciences)

Time：2023-6-9, 16:00

Location：Conference Room 106 at Experiment Building at Haiyun Campus

Abstract:

The automorphism group of an algebraic variety plays a role in the area of algebraic geometry. In many cases, the automorphism group of a generic object of a family of algebraic varieties is the smallest, e.g., smooth curves, hypersurfaces. Using Hodge theory, we characterize when the generic automorphism group in a family is as simple as possible. As an application, we show that, in most cases, a very general complete intersection in a projective space has no non-trivial automorphisms. This is a joint work with Dingxin Zhang.