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DTSTART:20230312T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240206T143000
SEQUENCE:0
TRANSP:TRANSPARENT
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URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work
 ing-seminar-92
SUMMARY:Differential Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:SPIRO KARIGIANNIS\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY
  OF\nWATERLOO\n\n\"AN EXERCISE IN RIEMANNIAN GEOMETRY (OR HOW TO MAKE A RI
 EMANNIAN\nGEOMETRIC OMELET WITHOUT BREAKING ANY EGGS)\"\n\n I will descri
 be a particular class of Riemannian metrics on the\ntotal space of a vecto
 r bundle\, depending only on one natural\ncoordinate $r$\, and which are t
 hus of cohomogeneity one. Such metrics\narise frequently in the study of s
 pecial holonomy\, By carefully\nthinking before diving in\, one can extrac
 t many useful formulas for\nsuch metrics without needing to explicitly com
 pute all of the\nChristoffel symbols and the curvature. For example\, thes
 e include the\nrough Laplacian of a function or of a vector field which ar
 e invariant\nunder the symmetry group. If time permits\, I will explain wh
 y I care\nabout such formulas\, as they are ingredients in the study of\nc
 ohomogeneity one solitons for the isometric flow of\n$\\mathrm{G}_2$-struc
 tures.\n\nMC 5403
DTSTAMP:20260505T204712Z
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