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09-06-2018, 10:02
Ώρα: 13:00
Αίθουσα: B/M 342
Ημερομηνία: 13/06/2016
Ομιλητής: Dmitri Alekseevsky, Institute for Information and Transmission Problems, Moscow

Τίτλος: Geometry of homogeneous convex cones: applications and generalizations

Περίληψη: I give a short introduction to the differential geometry of homogeneous convex cones and domains,
developed by E. Vinberg and J. Koszul, including a classification of self-dual homogeneous convex cones and description of homogeneous convex cones in terms of Vinberg T-algebras. I consider two applications of the theory: to description of scalar mass multiplets in $d=3,4,5$ supergravity, and to information geometry. All needed definitions will be given.