Informal Several Complex Variables Seminar (2025.11-2026.07)

ORGANIZED BY: Yaxiong Liu, Zhuo Liu, Xingsi Pu
DATE: Flexible time (CST)
ROOM: Qiuzhen building 503 or Zoom

The seminar aims to be a relaxed forum for researchers and graduate students interested in several complex variables and complex geometry, and students of all levels are encouraged to attend and ask questions. Some talks will be on zoom.

2025 Fall

  • November 4, 10am (Zoom: 811 5638 1768 (msrc))

    • Speaker: Zhiwei Wang (BNU)

    • Title: Recent progress on the SOS conjecture

    • Abstract: In this talk, we will introduce our recent progress on the study of the SOS conjecture (proposed by Ebenfelt), which is closely related to the Huang-Ji-Yin gap conjecture in the study of rational proper maps between the complex unit balls. This is based on joint work with Chenlong Yue and Professor Xiangyu Zhou.

  • November 12, 10am (Zoom: 811 5638 1768 (msrc))

    • Speaker: Yongxin Gao (NKU)

    • Title: Corona Problem 及相关问题的简单介绍

    • Abstract: 我们将对 Corona Problem 的发展历史进行简单的梳理。具体包括如下内容：1. Corona Problem 与 Banach algebra； 2. 圆盘上 Corona Theorem 的证明；3. Corona Problem in SCV；4. Corona 集的拓扑及解析结构。

  • November 21, 10am (in person)

    • Speaker: Xingsi Pu (CQUT)

    • Title: Kobayashi distance on complex domans II

    • Abstract: We review some properties and results of Kobayashi distance.

  • November 26, 10am (Zoom: 8115638 1768 (msrc))

    • Speaker: Fei Tao (PKU)

    • Title: Characterization of asymptotically smooth curves

    • Abstract: We construct an example of an asymptotically conformal chord-are curve that fails to be asymptotically smooth. This implies that a function belonging to both the little Bloch space and BMOA does not necessarily lie in VMOA, and that a strongly quasi-symmetric homeomorphism which is symmetric is not necessarily strongly symmetrie. We also provide a complete characterization of asymptotically smooth curves in terms of asymptotic conformal-ity and uniform approximability.

  • December 5， 10am (Zoom: 8115638 1768 (msrc))

    • Speaker: Yaxiong Liu (UMD)

    • Title: Recent progress on the YTD conjecture

    • Abstract: Given a polarized manifold (X, L), The Yau-Tian-Donaldson conjecture predicts that the existence of constant scalar curvature Kähler (escK) metric in c1 (L) is equivalent to algebraic K-stability. Very recently, together with works of Cheng-Cheng, Chi Li and others, Boucksom-Jonsson and Darvas-Zhang independently prove a YTD corresponding for (weighted) escK metries on smooth manifolds. We will summary those breakthroughs. If time permits, we also discuss the existence on singular varieties.

2026 Spring