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PATRICK MASSOT THE TURNING OF THE SPHERE Summary: The Internet is full of spectacular images and animations of paradoxical (but correct) geometric constructions: turning of the sphere, fractal flat torus, reduced sphere... The aim of this presentation is to explain that, far from being isolated curiosities, these objects are part of a vast theory, that of Gromov's h-principle. Although Gromov's unification of these observations dates back to the early 70s, it is an extremely dynamic field today. Links to the videos presented during the presentation: • Outside In • The Optiverse • Sphere eversion - turning inside out • Sphere Eversion: teaser • Torus eversion: colorblind friendly v... • Flying over a 3D fractal flat torus ---------------------------------- You can join us on social networks to follow our news. Facebook: / instituthenripoincare Twitter: / inhenripoincare Instagram: / instituthenripoincare LinkedIn: / 11054846