10:30 - 11:00
Registration
11:00 - 12:00
Jaigyoung Choe
Title: Minimal submanifolds similar to the Clifford torus
Abstract: The Clifford torus is the simplest nontotally geodesic minimal surface in S^3. It is a product surface, it is helicoidal, and it is a solution obtained by separation of variables. We will show that there are more minimal submanifolds with these properties in S^n and in R^4.
12:00 - 14:00
Lunch break
14:00 - 15:00
Jyh-Haur Teh
Title: A characterization of holomorphic chains by real rectifiable currents
Abstract: Holomorphic chains are fundamental objects in complex geometry. In this talk I will give a brief review of a beautiful theorem given by King, Harvey, Shiffman and Alexander in characterizing integral holomorphic chains by integral currents, and introduce my work with Chin-Jui Yang in characterizing real holomorphic chains by real rectifiable currents.
15:00 - 15:30
Tea break
15:30 - 16:30
Hsiao-Fan Liu
Title: Star Mean Curvature Flow on 3-manifolds
Abstract: The Hodge star mean curvature flow on a 3-dimensional Riemannian or pseudo-Riemannian manifold is one of nonlinear dispersive curve flows in geometric analysis. Such a curve flow is integrable as its local differential invariants of a solution to the curve flow evolve according to a soliton equation. In this talk, we will discuss about this flow on a 3-sphere and 3-dimensional hyperbolic space, and describe explicit solutions algebraically to such curve flows from Lax pairs. Solutions to the Cauchy problems of such curve flows on a 3-shpere and 3-dimensional hyperbolic space follow from this construction.
16:30 - 17:20
Forum discussion
17:40
Symposium Banquet
Place: 暐順麗緻 聖香樓 (close to the campus)