Special Holonomy in Geometry, Analysis, and Physics

Our collaboration, initially consisting of 10 principal investigators and directed by Robert Bryant of Duke University, will advance the theory and applications of spaces with special holonomy and the geometric structures—calibrated submanifolds and instantons—associated with them, particularly in the two exceptional cases: spaces with holonomy G_2 or Spin(7) in 7 or 8 dimensions, respectively.