“數通古今，學貫中外”學術講座第三十四期預告【Wong Man Wah教授】
作者：高冰 ?? 來源：數學學院?? 發(fā)布日期：2012-10-22
報告主題: "Analysis, Geometry and Arithmetics on the Heisenberg Group"
報告人：加拿大約克大學Wong Man Wah教授
時 間：10月24日 15：00--16：00
地 點：研究生樓504
題 目：The Heat Kernel and Green Function of the Sub-Laplacian on the
Heisenberg Group
摘 要： After a brief recall of the basics of the first lecture, the heat kernels
and Green functions of the twisted Laplacians are constructed explicitly
using Weyl transforms. They are then used to construct the explicit
formulas for the heat kernel and Green function of the sub-Laplacian on
the Heisenberg group. The meaning of the Green function in sub-Riemannian
geometry is then given leading to the notion of the Carnot-Caratheodory
metric.