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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20260319T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20260319T154500
URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work
 ing-seminar-181
SUMMARY:Differential Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:VIKTOR MAJEWSKI\, UNIVERSITY OF WATERLOO\n\n_Filling Holes in t
 he Spin(7)-Teichmüller Space and String\nCohomology_\n\nIn this talk\, I 
 apply the analytic results from the first talk to\nstudy the boundary of t
 he Spin(7) Teichmüller space.Using compactness\nresults for Ricci-flat me
 trics together with known examples of Spin(7)\nmanifolds\, it is knownthat
  Spin(7) orbifolds with SU(N) isotropy arise\nas boundary points of the mo
 duli space. Building on theresolution\nscheme for Spin(7) orbifolds that I
  discussed in 2024\, and which I\nwill briefly review\, we show howthis bo
 undary can be removed by\nrequiring Spin(7) orbifolds to encode informatio
 n about their\nresolutions. Inthis way\, the Teichmüller space is enlarge
 d to include\norbifold limits together with their compatible resolutions\,
 thereby\nfilling in the boundary. Finally\, we explain how this perspectiv
 e is\nrelated to a Spin(7) analogue of thecrepant resolution conjecture fr
 om\nstring cohomology\, providing a geometric interpretation of the\nobstr
 uctioncomplex discussed in the linear gluing analysis in the\nfirst talk.\
 n\nMC 5403
DTSTAMP:20260408T060721Z
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