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SUMMARY:Hyperbolic geometry of shapes of convex bodies
DTSTART:20181017T150000
DTEND:20181017T160000
DTSTAMP:20260916T034811Z
UID:46421833f61da5fcb39891c5d85751ce124f797473e1f5d2a28e81d8
CATEGORIES:Conferences - Seminars
DESCRIPTION:François Fillastre (CNRS)\nWe define a distance on the space 
 of convex bodies in then-dimensional Euclidean space\, up to translations 
 and homotheties\, which makes it isometric to a convex subset of the infin
 ite dimensional hyperbolic space. The ambient Lorentzian structure is an e
 xtension of the intrinsic area form of convex bodies. We deduce that the s
 pace of shapes of convex bodies (i.e. convex bodies up to similarities) ha
 s a proper distance with curvature bounded from below by −1. In dimensio
 n 3\, this space naturally identifies with the space of distances with non
 -negative curvature on the 2-sphere.\n\n(joint work with C. Debin)
LOCATION:MA A3 30 https://plan.epfl.ch/?room=MAA330
STATUS:CONFIRMED
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