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# Around Maxwell's conjecture

GFM seminar
FCUL, C6, room 6.2.33
2019-09-18 14:30 .. 15:30
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by B.Shapiro (Stockholm University)

In his famous book “A Treatise on Electricity and Magnetism” first published in 1867 J.C. Maxwell made a surprising claim that any configuration of $$N$$ fixed point charges in $$\mathbb{R}^3$$ creates no more that $${(N-1)}^2$$ points of equilibrium. He provided this claim with an incomplete proof containing many elements of Morse theory to be created 60 years later. We present a modern set-up and generalisations of Maxwell’s conjecture and discuss what is currently known about his original claim which is still open even in case of 3 charges. No preliminary knowledge of the topic is required.