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Explore collective motion phenomena through the lens of congestion principles in this 90-minute lecture that challenges traditional approaches to swarming and collaborative behavior. Examine crowd motion models where individual tendencies are counteracted by the presence of others, focusing on how information propagates through populations under congestion constraints. Delve into gradient flow models that assume populations minimize global dissatisfaction while incorporating congestion constraints, and discover both microscopic and macroscopic versions of this approach using Optimal Transportation principles. Learn how classical mechanics frameworks with symmetric Action-and-Reaction principles can be modified to create more realistic interaction models featuring asymmetric individual interactions, providing new insights into understanding collective behavior in constrained environments.
