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# Applied Math Seminar — Almut Burchard (U. Toronto)

## May 2, 2022 @ 4:15 pm - 5:15 pm

Title: What is the best shape? Geometric

problems arising in aggregation models

Abstract: How do pair interactions shape the large-scale

behaviour of a cloud of particles (animals,

social agents …) ? In the most basic

models, the shape of the cloud is determined

by minimizing an attractive-repulsive interaction

energy under suitable geometric constraints.

When can we expect aggregation to occur? what

is the shape of the resulting flock? I will

describe recent work on optimal shapes in capacitor

problems that occur as limiting cases.