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BEGIN:VEVENT
UID:a9210e90f8eb694b29ae5821bd536fcd
CATEGORIES:Complex Analysis and Geometry Seminar
CREATED:20241112T101532
SUMMARY:Geometric quantization on CR manifolds
LOCATION:Hill 712
DESCRIPTION:<p>&nbsp;</p><p>Consider a compact connected orientable CR manifold X&nbsp;
 <br style="font-weight: 400; letter-spacing: normal; text-align: start; tex
 t-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px
 ; text-decoration: none; color: #242424; font-family: 'Segoe UI', 'Segoe UI
  Web (West European)', -apple-system, BlinkMacSystemFont, Roboto, 'Helvetic
 a Neue', sans-serif; font-size: 14.666667px;">with the action of a connecte
 d compact Lie group G.<br style="font-weight: 400; letter-spacing: normal; 
 text-align: start; text-indent: 0px; text-transform: none; white-space: nor
 mal; word-spacing: 0px; text-decoration: none; color: #242424; font-family:
  'Segoe UI', 'Segoe UI Web (West European)', -apple-system, BlinkMacSystemF
 ont, Roboto, 'Helvetica Neue', sans-serif; font-size: 14.666667px;">Under n
 atural pseudoconvexity assumptions we show<br style="font-weight: 400; lett
 er-spacing: normal; text-align: start; text-indent: 0px; text-transform: no
 ne; white-space: normal; word-spacing: 0px; text-decoration: none; color: #
 242424; font-family: 'Segoe UI', 'Segoe UI Web (West European)', -apple-sys
 tem, BlinkMacSystemFont, Roboto, 'Helvetica Neue', sans-serif; font-size: 1
 4.666667px;">that the CR Guillemin-Sternberg map is Fredholm.<br style="fon
 t-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px;
  text-transform: none; white-space: normal; word-spacing: 0px; text-decorat
 ion: none; color: #242424; font-family: 'Segoe UI', 'Segoe UI Web (West Eur
 opean)', -apple-system, BlinkMacSystemFont, Roboto, 'Helvetica Neue', sans-
 serif; font-size: 14.666667px;">As application we study this map for holomo
 rphic&nbsp;<br style="font-weight: 400; letter-spacing: normal; text-align:
  start; text-indent: 0px; text-transform: none; white-space: normal; word-s
 pacing: 0px; text-decoration: none; color: #242424; font-family: 'Segoe UI'
 , 'Segoe UI Web (West European)', -apple-system, BlinkMacSystemFont, Roboto
 , 'Helvetica Neue', sans-serif; font-size: 14.666667px;">line bundles which
  are positive near the inverse image of zero<br style="font-weight: 400; le
 tter-spacing: normal; text-align: start; text-indent: 0px; text-transform: 
 none; white-space: normal; word-spacing: 0px; text-decoration: none; color:
  #242424; font-family: 'Segoe UI', 'Segoe UI Web (West European)', -apple-s
 ystem, BlinkMacSystemFont, Roboto, 'Helvetica Neue', sans-serif; font-size:
  14.666667px;">by the moment map.<br style="font-weight: 400; letter-spacin
 g: normal; text-align: start; text-indent: 0px; text-transform: none; white
 -space: normal; word-spacing: 0px; text-decoration: none; color: #242424; f
 ont-family: 'Segoe UI', 'Segoe UI Web (West European)', -apple-system, Blin
 kMacSystemFont, Roboto, 'Helvetica Neue', sans-serif; font-size: 14.666667p
 x;">We also show that ``quantization commutes with reduction''<br style="fo
 nt-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px
 ; text-transform: none; white-space: normal; word-spacing: 0px; text-decora
 tion: none; color: #242424; font-family: 'Segoe UI', 'Segoe UI Web (West Eu
 ropean)', -apple-system, BlinkMacSystemFont, Roboto, 'Helvetica Neue', sans
 -serif; font-size: 14.666667px;">for Sasakian manifolds.</p>
CONTACT:Chin-Yu Hsiao
X-EXTRAINFO:November 15, 10:30-11:30am, Hill 712
DTSTAMP:20260828T185000
DTSTART;TZID=America/New_York:20241115T103000
DTEND;TZID=America/New_York:20241115T113000
SEQUENCE:0
TRANSP:OPAQUE
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