Table of Contents

Part I.- Introduction to G₂ Geometry (S. Karigiannis).- Constructions of Compact G₂-Holonomy Manifolds (A. Kovalev).- Calibrated Submanifolds (J.D. Lotay).- Calibrated Submanifolds in G₂ Geometry (K.F. Chan, N.C. Leung).- Geometric Flows of G₂ Structures (J.D. Lotay).- Part II.- Distinguishing G2-Manifolds (D. Crowley, S. Goette, J. Nordstrom).- Gravitational Instantons and Degenerations of Ricci-flat Matrics on the K3 Surface (L. Foscolo).- Frolicher-Nijenhuis Bracket on Manifolds with Special Holonomy (K. Kawai, H.V. Le, L. Schwachhofer).- Distinguished G₂-Structures on Solvmanifolds (J. Lauret).- On G₂-Structures, Special Metrics, and Related Flows (M. Fernandez, A. Fino, A. Raffero).- Laplacian Flow for Closed G₂ Structures (Y. Wei).- Flows of Co-Closed Gw-Structers (S. Grigorian).- G₂-Instantons on Noncompact G2-Manifolds (J.D. Lotay, G. Oliveira).- Current Progress on G₂-Instantons Over Twisted Connected Sums (H. Sa Earp).- Complex and Calibrated Geometry (K. Moore).- Deformations of Calibrated Submanifolds with Boundary (A. Kovalev).