“数通古今,学贯中外”学术讲座第三十四期预告【Wong Man Wah教授】
作者:高冰 来源:数学学院 发布日期:2012-10-22
报告主题: "Analysis, Geometry and Arithmetics on the Heisenberg Group"
报告人:加拿大约克大学Wong Man Wah教授
时 间:10月24日 15:00--16:00
地 点:研究生楼504
题 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.