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SUMMARY:Dmitri Alekseevsky
DTSTART:20220316T162000Z
DTEND:20220316T180000Z
DTSTAMP:20260423T010337Z
UID:GDEq/59
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/59/">Sp
 ecial Vinberg cones and their applications</a>\nby Dmitri Alekseevsky as p
 art of Geometry of differential equations seminar\n\nLecture held in room 
 303 of the Independent University of Moscow.\n\nAbstract\nThe talk is base
 d on joint works with Vicete Cortes\, Andrea Spiro and Alessio Marrani.\n\
 nA short survey of the Vinberg theory of convex cones (including its infor
 mational geometric interpretation) and homogeneous convex cones will be pr
 esented. Then we concentrate on the theory of rank 3 special Vinberg cones
 \, associated to metric Clifford $Cl({\\mathbb R}^n)$ modules.\n\nA genera
 lization of the theory to the indefinite special Vinberg cones\, associate
 d to indefinite metric Clifford $Cl({\\mathbb R}^{p\,q})$ modules is indic
 ated. An application of special Vinberg cones to $N=2 \, \\\, d=5\,4\,3$ S
 upergravity will be considered.\n\nWe will discuss also applications of th
 eory of homogeneous convex cones to convex programming\, information geome
 try and Frobenius manifolds.\n
LOCATION:https://researchseminars.org/talk/GDEq/59/
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