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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.



May 2, 2022
4:15 pm - 5:15 pm
Event Category:


Emmy Noether Room, Estella 1021, Pomona College,
610 N. College Ave.
Claremont, CA 91711 United States
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