Dmitry Alekseevsky “Special Vinberg cones ...“ | The Vinberg Lecture

The Vinberg Lecture Series: Lecture 3 (Nov 23, 2021) -------- Dmitry Alekseevsky (IITP RAS, Moscow, Russia) Title: Special Vinberg cones and their application to Supergravity Abstract: In the early 1960s, Vinberg gave a description of homogeneous convex cones as cones of Hermitian positive definite matrices in a matrix T-algebra of (n \times n)-matrices whose diagonal entries are just real numbers, but off-diagonal elements belong to different vector spaces. It turns out that rank 3 special Vinberg cones (corresponding to Clifford algebras) have important applications to Supergravity. No special background is required. The talk is based on joint works with V. Cortes; and with A. Marrani and A. Spiro.