Registration

Chin-Yu Hsiao 蕭欽玉

Title: Semi-classical analysis in CR geometry

Abstract: Semi-classical analysis plays an important role in complex geometry, mathematical physics and P.D.E.. In this talk, I will explain that how to use semi-classical analysis to study some important problems in CR geometry. By using semi-classcial analysis, we established CR perturbed spherical embedding theorem and CR Tian's theorem for contact forms.

 Lunch break

Willie Wai-Yeung Wong 黃暐暘

Title: Lorentzian geometric analysis beyond general relativity

Abstract: A Lorentzian manifold is a manifold locally modeled after Minkowski space, and originally gained prominence as the geometric model for Einstein's general relativity. It differs from a Riemannian manifold in that its metric tensor is no longer assumed to be positive definite, and instead required to have exactly one negative index. My goals for this talk are two fold: (1) introduce the audience to the basic notions in Lorentzian geometry, and (2) describe two surprising connections to non-relativitistic fluid dynamics, and what we can learn from geometry.

 Tea break

Wei-Ting Kao 高尉庭

Title: The Singular Yamabe metric on CR manifolds and its asymptotic behavior near boundary

Abstract: Let M be a (2n+1)-dim’l compact strongly pseudoconvex(spc) CR manifold with smooth nonsingular boundary ∂M. The CR singular Yamabe problem is whether there exists a contact form θ such that M is complete with respect to Carnot-Caratheodory distance induced by θ and the Webster scalar curvature is -2(n+1)^2. Such solution gives us some information to study the CR invariant for the hypersurface ∂M. In this talk, I will introduce CR geometry, some applications for the singular Yamabe metric and briefly show some results of the existence of the singular Yamabe equation on M and its behavior near boundary via some subelliptic analysis.

Hsin-Chuang Chou 周鑫壯

Title: Weakly Differentiable Multiple-Valued Functions on Varifolds

Abstract: Recall that Menne has established a theory of weakly differentiable functions on varifolds, and to extend the theory to varying varifolds, we should allow the functions to be multiple-valued. In this talk, we will first briefly introduce varifolds and the convergence of pairs of varifolds and multiple-valued functions thereon, then present the results we have proved.

Forum discussion

Symposium Banquet

Place: 汕頭泉成沙茶火鍋 中山總店