晨兴学术报告：Lines on holomorphic contact manifolds and a generalization of (2,3,5)-distributions to higher dimensions

中国科学院晨兴数学中心

CAS Seminar

Speaker: Prof. Qifeng Li (Shandong University)

Time: 9:30–10:30  February 28th, 2023 (Tuesday)

Place: MCM 410 & Online (Zoom ID: 4663562952  Password: mcm1234)

Inviter: Prof. Baohua Fu

Language: English

Title: Lines on holomorphic contact manifolds and a generalization of (2,3,5)-distributions to higher dimensions

Abstract: Since the celebrated work by Cartan, distributions with small growth vector (2,3,5) have been studied extensively. In the holomorphic setting, there is a natural correspondence between holomorphic (2,3,5)-distributions and nondegenerate lines on holomorphic contact manifolds of dimension 5. We generalize this correspondence to higher dimensions by studying nondegenerate lines on holomorphic contact manifolds and the corresponding class of distributions of small growth vector (2m, 3m, 3m+2) for any positive integer m. This is a joint work with Jun-Muk Hwang.