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SUMMARY:Silvio Reggiani (Universidad Nacional de Rosario)
DTSTART:20260311T160000Z
DTEND:20260311T170000Z
DTSTAMP:20260423T021217Z
UID:VSGS/122
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/122/">T
 he geometry of sedenion zero divisors</a>\nby Silvio Reggiani (Universidad
  Nacional de Rosario) as part of Virtual seminar on geometry with symmetri
 es\n\n\nAbstract\nThe sedenion algebra is a non-associative real algebra o
 btained from the octonions via the Cayley-Dickson construction. Its zero d
 ivisors admit a natural description as a principal bundle over the Stiefel
  manifold $V_{2\,7}$\, with total space the compact Lie group $G_2$ and fi
 ber $S^3$\, which is similar to the Hopf fibration.\n\nIn this talk\, we d
 iscuss some geometric aspects of this fibration. We show that the natural 
 submanifold metric on the total space is isometric to a naturally reductiv
 e left-invariant metric on $G_2$\, yielding a Riemannian submersion onto a
 n exceptional symmetric space. We also consider a deformation of the metri
 c on $V_{2\,7}$\, analogous to the Berger spheres\, obtaining a new Einste
 in metric and a family of non-negatively curved metrics.\n
LOCATION:https://researchseminars.org/talk/VSGS/122/
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