Cancelled- AMS Seminar: Eitan Tadmore (University of Maryland) @ Whitehead 304

Title: Emergent Behavior in Collective Dynamics
Abstract: A fascinating aspect of collective dynamics is the self-organization of small-scales
and their emergence as higher-order patterns — clusters, flocks, tissues, parties.
The emergence of different patterns can be described in terms of few fundamental “rules of interactions”.
I will discuss recent results of the large-time, large-crowd dynamics, driven by anticipation that tend to align the crowd,
while other pairwise interactions keep the crowd together and prevent over-crowding.
In particular, I address the question how short-range interactions lead to the emergence of long-range patterns,
comparing different rules of interactions based on geometric vs. topological neighborhoods.