Workshop in Analysis and Geometry
分 析 幾 何 研 討 會
時間: 2007年3月5日至6日 地點: 中研院數學所演講廳
演講者
Richard Beals (Yale University)
Peter Greiner (Toronto University)
張德健 (Georgetown University)
帖經智 (Univ. of Georgia, Academia Sinica)
吳德琪 (Academia Sinica)
謝春忠 (Academia Sinica)
聯絡人:李宣北 女士 E-mail: hplee@math.sinica.edu.tw
張德健 先生 E-mail: chang@georgetown.edu
Program
3/5(一)
10:00 茶會
10:30 Richard Beals
Exact Solutions of PDEs: Subelliptic, Degenerate
Elliptic, Hyperbolic
Techniques developed for the study of certain sums-of-squares
operators ("sublaplacians") yield detailed information for other types of
partial differential equations as well. Connections with geometry will be
emphasized.
14:30 張德健
Analysis on Decoupled Domains in C
15:00 茶會
15:30 吳德琪
The Cauchy Problem of the Ward Equation
The Ward equation is obtained by a dimension reduction and a
gauge fixing from the self-dual Yang-Mills equations on R^{2,2} . Using
the inverse scattering method, we solve the Cauchy problem of the Ward
equation with a non-small initial potential.
3/6(二)
10:00 茶會
10:30 Peter Greiner
Heat Kernels and Non-Holonomic Geometry
Given a Hörmander operator, a sum of squares of bracket
generating vectorfields, we propose formulas for its fundamental solution
and heat kernel which are given in terms of an associated non-holonomic
geometry.
14:00 帖經智
Bi-Characteristic Curves on the Engel Group
15:00 茶會
15:30 謝春忠
Knot Theory: Mathematics and Physics
We express the first non-vanishing Massey-Milnor linkings in terms
of Chern-Simons-Witten configuration space integrals in perturbative
quantum field theory.