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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20260617T153000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20260617T170000
URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work
 ing-seminar-194
SUMMARY:Differential Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:JACQUES VAN WYK\, UNIVERSITY OF WATERLOO\n\n_Generalised Comple
 x Structures on Products of Lie Groups_\n\nLet \\(M\\) be an even-dimens
 ional manifold\, and let \\(H\\) be a\nclosed three-form on \\(M\\). An
  \\(H\\)-twisted generalised complex\nstructure on \\(M\\) is an endomo
 rphism of \\(TM \\oplus T^*M\\)which\nsquares to −1\, preserves the nat
 ural pseudometric of \\(TM \\oplus\nT^*M\\)\, and whose \\(i\\)-eigenbund
 le is closed under the \\(H\\)-twisted\nDorfman bracket. A natural questio
 n is given a fixed closed\nthree-form \\(H\\) on \\(M\\)\, does there exi
 st an \\(H\\)-twisted\ngeneralised complex structure on \\(M\\)? We explor
 e this question for\nproducts of compact simple Lie groups. This is motiva
 ted by Marco\nGualtieri’s result that any even-dimensional Lie group wit
 h a\nbiinvariant metric admits a generalised complex structure.\n\nMC 4058
DTSTAMP:20260611T192741Z
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