Registration

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.

Lunch break

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.

Tea break

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.

Forum discussion

Symposium Banquet

Place: 暐順麗緻 聖香樓 (close to the campus)