Workshop in Analysis and Geometry

   分 析 幾 何 研 討 會

 

時間: 2007356 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()

  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()

  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.