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DTSTART:20250309T070000
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UID:69f57942add78
DTSTART;TZID=America/Toronto:20251215T153000
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URL:https://uwaterloo.ca/pure-mathematics/events/geometry-and-topology-semi
 nar-43
SUMMARY:Geometry and Topology Seminar
CLASS:PUBLIC
DESCRIPTION:SERGEY GRIGORIAN\, UNIVERSITY OF TEXAS RIO GRANDE VALLEY\n\n_Ge
 ometric structures determined by the 7-sphere_\n\nThe 7-sphere is remarkab
 le not only for its rich topological and\nalgebraic properties but also fo
 r the special geometric structures it\nencodes. In this talk\, we explore 
 how the symmetries and stabilizer\nsubgroups of Spin(7) acting on the 7-sp
 here\, regarded as the set of\nunit octonions\, give rise to G2​-structu
 res on 7-manifolds\,\nSU(3)-structures on 6-manifolds\, and SU(2)-structur
 es on 5-manifolds.\nWe will trace how these structures arise naturally via
  the inclusions\nof Lie groups and are reflected in the geometry of sphere
  fibrations.\nThis perspective highlights the role of the 7-sphere as a un
 ifying\nobject in special geometry in dimensions from 5 to 8.\n\nMC 5417
DTSTAMP:20260502T041042Z
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