Extreme Events: Magic, Mysteries, and Challenges -- Extreme Events: Magic, Mysteries, and Challenges -- General Considerations -- Anticipating Extreme Events -- Mathematical Methods and Concepts for the Analysis of Extreme Events -- Dynamical Interpretation of Extreme Events: Predictability and Predictions -- Endogenous versus Exogenous Origins of Crises -- Scenarios -- Epilepsy: Extreme Events in the Human Brain -- Extreme Events in the Geological Past -- Wind and Precipitation Extremes in the Earth's Atmosphere -- Freak Ocean Waves and Refraction of Gaussian Seas -- Predicting the Lifetime of Steel -- Computer Simulations of Opinions and their Reactions to Extreme Events -- Networks of the Extreme: A Search for the Exceptional -- Prevention, Precaution, and Avoidance -- Risk Management and Physical Modelling for Mountainous Natural Hazards -- Prevention of Surprise -- Disasters as Extreme Events and the Importance of Network Interactions for Disaster Response Management.