AbstractThe curvature tensor captures the essential geometry of a Riemannian manifold. Curvaturebounds have important geometric, analvtical and topoloaical conseauences, in tum. these can beused for axiomatic characterizations of curvature bounds and extended to general metric spaces.Problems of modemn data analysis lead to a new perspective on curvature that will bedeveloped in this lecture, a...
AbstractThis report will take you on a journey through the fascinating world of game theory, the mathematical study of how people or groups make decisions in situations where their actions affect each other. You will see how game theory can help us explain and predict various phenomena, such as why civilizations may hide in the dark forest of the universe, how nuclear weapons can prevent wars, ...
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