Speaker: Phillip A. Griffiths (Member of the US National Academy of Sciences, Professor Emeritus, Institute for Advanced Study, Princeton, Winner of Wolf Prize)

Time: 16:30—17:30, October11, 2013

Place: Lecture Hall, Second Floor, Jia Yi Bing Building, 82 Jing Chun Yuan, PKU

Abstract: 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.