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TZOFFSETFROM:-0500
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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20260513T140000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20260513T170000
URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work
 ing-seminar-187
SUMMARY:Differential Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:SPIRO KARIGIANNIS\, UNIVERSITY OF WATERLOO\n\n_Decomposition of
  the Riemann Curvature Tensor_\n\nThe Riemann curvature tensor R of a Riem
 annian metric decomposes into\nthree orthogonal components: thescalar curv
 ature\, the traceless Ricci\ncurvature tensor\, and the Weyl curvature ten
 sor. I will explain in\ndetail therepresentation theory and linear algebra
  underlying this\ndecomposition. Moreover\, we will see that in the specia
 lcases of\ndimensions 2\, 3\, 4 one can say more. As an application\, I wi
 ll discuss\nthe Singer-Thorpe Theoremcharacterizing Einstein metrics in 4\
 ndimensions in terms of this decomposition. If time permits (and it may\nw
 ellpermit\, as this will be a 2.5 hour talk with a break midway)\, I\nwill
  briefly discuss a generalization of these ideasto G2-geometry in\n7 dimen
 sions.\n\nMC 5417
DTSTAMP:20260511T094817Z
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