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UID:5834@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20221209T110000
DTEND;TZID=Europe/Paris:20221209T120000
DTSTAMP:20241120T200229Z
URL:https://www.i2m.univ-amu.fr/evenements/zonoid-calculus-how-to-multiply
 -convex-bodies-to-count-points-of-intersection/
SUMMARY:Léo Mathis (Goethe University in Frankfurt): Zonoid calculus: How 
 to multiply convex bodies to count points of intersection
DESCRIPTION:Léo Mathis: The space of convex bodies (convex non empty and c
 ompact subsets) comes with an addition called the Minkowski sum. I will ex
 plain how on a subclass of convex bodies\, namely zonoids\, one can also b
 uild multiplicative structures. This is the Fundamental Theorem of Zonoid 
 Calculus (joint work with Breiding Bürgisser and Lerario) which allows to
  build multilinear maps on spaces of zonoids from multilinear maps on the 
 underlying vector spaces. Applying this to the wedge product we obtain the
  zonoid algebra. I will then show how this algebra behaves as a sort of pr
 obabilistic cohomology space. More precisely it computes the average inter
 section of random translation of submanifolds in homogeneous spaces.\n&nbs
 p\;\n\n\n\n\n\n\n\n\n\n\n\nSéminaire RAUZY\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 022/11/Leo_Mathis.png
CATEGORIES:Séminaire,Rauzy
LOCATION:Saint-Charles - FRUMAM (3ème étage)\, 3\, place Victor Hugo\, Ma
 rseille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3\, place Victor Hugo\, Mar
 seille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM 
 (3ème étage):geo:0,0
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