Speaker: Xingsi Pu (MSRC, CQUT)

Time: 14:30-16:00, Mar. 25  2025

Venue: 至善楼602

Title: A uniformization theorem for the Bergman metric

Abstract:

I will introduce the paper by Ebenfelt, Treuer and Xiao. They prove that a bounded domain with constant holomorphic sectional curvature of its Bergman metric is biholomorphic to the unit ball less a relatively closed zero-measure set, and that all L2-holomorphic functions on the domain extend to L2-holomorphic functions on the ball.

Speaker: Yang Shen (MSRC, CQUT)

Time: 14:30-16:00, Mar. 18  2025

Venue: 至善楼602

Title: The Laplacian operators on flag domains II

Abstract:

In this talk, we compute the Laplacian operators on flag manifolds and introduce its applications to the cohomolgy groups on flag domains.

Speaker: Yang Shen (MSRC, CQUT)

Time: 14:30-16:00, Mar. 11  2025

Venue: 至善楼602

Title: The Laplacian operators on flag domains 

Abstract:

In this talk, we compute the Laplacian operators on flag manifolds and introduce its applications to the cohomolgy groups on flag domains.