An Old Conjecture Falls, Making Spheres a Lot More Complicated

In early June, buzz built as mathematicians landed at London’s Heathrow Airport. Their destination was the University of Oxford and a conference in honor of the 65th birthday of Michael Hopkins, a mathematician at Harvard University who’d served as a mentor to many of the attendees. Hopkins made a name for himself in the late 1980s for work on seven conjectures that Doug Ravenel of the University…

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