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DTSTAMP:20250903T090623Z
DESCRIPTION:\n	The Department of Mathematics and Statistics invites you to a
 ttend the Ph.D. Oral Defense of Mr. Kael Dixon\n\nTHESIS TITLE: Completion
 s of regular ambitoric 4-manifolds: Riemannian Kerr metrics and beyond\n\n
 \n\n\nCOMMITTEE MEMBERS\n\nChair\n	David A. Stephens\, Professor\, Departme
 nt of Mathematics and Statistics\, ºÚÁÏÉç\n\nSupervisors\n	Niky 
 Kamran\, Professor\, Department of Mathematics and Statistics\, ºÚÁÏÉç Uni
 versity\n	Vestislav Apostolov\, Professor\, Département de mathématiques\, 
 Université du Québec à Montréal \n\nInternal Examiner\n	Jaques Hurtubise\, 
 Professor\, Mathematics and Statistics\, ºÚÁÏÉç\n\nExternal Mem
 ber\n	Alexander Maloney\, Associate Professor of Physics\, Department of Ph
 ysics\, ºÚÁÏÉç\n\nPro-Dean\n	TBA\n\n\nABSTRACT\n\nWe show that t
 he conformal structure for the Riemannian analogues of Kerr black-hole met
 rics can be given an ambitoric structure. We then discuss the properties o
 f the moment maps. In particular\, we observe that the moment map image is
  not locally convex near the singularity corresponding to the ring singula
 rity in the interior of the black hole. We also study the Tomimatsu-Sato m
 etrics\, whichgeneralize the Kerr metrics. We show that these also admit R
 iemannian signature analogues\, and admit almost-complex analogues of ambi
 toric structures. We then proceed to classify regular ambitoric 4-orbifold
 s with some completeness assumptions. The tools developed also allow us to
  prove a partial classi cation of ompact Riemannian 4-manifolds which admi
 t a Killing 2-form.\n
DTSTART:20160712T141500Z
DTEND:20160712T161500Z
LOCATION:1025 - Graduate Lounge\, Burnside Hall\, CA\, QC\, Montreal\, H3A 
 0B9\, 805 rue Sherbrooke Ouest
SUMMARY:Ph.D. Oral Defense - Kael Dixon
URL:/science/channels/event/phd-oral-defense-kael-dixo
 n-261651
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