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DTSTART:20250330T030000
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DTSTAMP:20260424T143501Z
UID:6687bf08e3ceb761594543@ist.ac.at
DTSTART:20250422T163000
DTEND:20250422T173000
DESCRIPTION:Speaker: Chris Fillmore & Goncalo Oliveira\nhosted by Robert Se
 iringer\nAbstract: In 1873\, James C. Maxwell conjectured that the electri
 c field generated by $n$ point charges in generic position has at most $(n
 -1)^2$ isolated zeroes. The first (non-optimal) upper bound was only obtai
 ned in 2007 by Gabrielov\, Novikov and Shapiro\, who also posed two additi
 onal interesting conjectures. In this talk we give the best upper bound kn
 own to date on the number of zeroes of the electric field\, and construct 
 a counterexample to one of the previously mentioned Conjectures. We also e
 xplore examples and construct configurations of charges achieving the high
 est ratios of the number of electric field zeroes by point charges found t
 o this day.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Chris Fillmore & Goncalo Oliveira: Counting Zeros of the Electric F
 ield
URL:https://talks-calendar.ista.ac.at/events/5711
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