Analysis Seminar

Title: Ambient metrics and exceptional holonomy
Speaker: Robin Graham
Speaker Info: University of Washington
Brief Description:
Special Note:

Construction of pseudo-Riemannian metrics whose holonomy is an exceptional Lie group has been of interest in recent years. This talk will outline a construction of an infinite-dimensional family of metrics in dimension 7 whose holonomy is contained in the split real form of the exceptional group $G_2$. An open dense subset of the family has holonomy equal to $G_2$. The datum for the construction is a generic real-analytic 2-plane field on a manifold of dimension 5; the metric in dimension 7 arises as the ambient metric of a conformal structure on the 5-manifold defined by Nurowski in terms of the 2-plane field. This is work with Travis Willse and generalizes results of Leistner and Nurowski.
Date: Monday, November 21, 2011
Time: 4:10pm
Where: Lunt 105
Contact Person: Dean Baskin
Contact email: dbaskin@math.northwestern.edu
Contact Phone:
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