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Two of America's leading national security experts offer a definitive account of the global impact of COVID-19 and the political shock waves it will have on the United States and the world order in the 21st Century. “Informed by history, reporting, and a truly global perspective, this is an indispensable first draft of history and blueprint for how we can move forward.” —Ben Rhodes The COVID-19 pandemic killed millions, infected hundreds of millions, and laid bare the deep vulnerabilities and inequalities of our interconnected world. The accompanying economic crash was the worst since the Great Depression, with the International Monetary Fund estimating that it will cost over $22 trill...
This volume contains the proceedings of the mini-workshop on Topological Complexity and Related Topics, held from February 28–March 5, 2016, at the Mathematisches Forschungsinstitut Oberwolfach. Topological complexity is a numerical homotopy invariant, defined by Farber in the early twenty-first century as part of a topological approach to the motion planning problem in robotics. It continues to be the subject of intensive research by homotopy theorists, partly due to its potential applicability, and partly due to its close relationship to more classical invariants, such as the Lusternik–Schnirelmann category and the Schwarz genus. This volume contains survey articles and original research papers on topological complexity and its many generalizations and variants, to give a snapshot of contemporary research on this exciting topic at the interface of pure mathematics and engineering.