A Class of Differential Equations Arising from Representation Theory
主 题: A Class of Differential Equations Arising from Representation Theory
报告人: Phillip A. Griffiths (Professor of Mathematics, Princeton University)
时 间: 2013-10-11 16:30-17:30
地 点: Lecture Hall, Second Floor, Jia Yi Bing Building, 82 Jing Chun Yuan, PKU (Distinguished Lecture Series)
This talk will discuss how the Harish-Chandra modules arising from the discrete series representations, and their limits, of a real semi-simple Lie group satisfy a canonical linear PDE system. In case the Harish-Chandra parameter is very regular, this PDE system is the initial term in the classical Spencer sequence. In the general case the PDE system appears to be of a new type and its structure is not yet understood. The connection between representation theory and PDE’s will be established using complex geometry. The talk is intended for a general audience and all of the major concepts will be defined and illustrated in low dimensional examples.