Geometry Working Seminar

Monday, May 30, 2016 11:30 am - 11:30 am EDT

Anthony McCormick, Department of Pure Mathematics, University of Waterloo


We will start with a quick review of the octonions before providing several equivalent definitions of the Lie group G2 (and proving their equivalence). Analyzing the group G2 will lead us into a discussion of the basics of G2 geometry including the torsion of a G2 structure, associative and coassociative submanifolds, and the cohomology of compact G2-manifolds. Some examples of G2-manifolds will be given, however they will have holonomy properly contained in G2.

MC 5403