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DTSTAMP:20250706T080823Z
DESCRIPTION:Title: The Sphere Covering Inequality and Its Applications\n\nA
 bstract: We show that the total area of two distinct Gaussian curvature 1 
 surfaces with the same conformal factor on the boundary\, which are also c
 onformal to the Euclidean unit disk\, must be at least 4π. In other words\
 , the areas of these surfaces must cover the whole unit sphere after a pro
 per rearrangement. We refer to this lower bound of total areas as the Sphe
 re Covering Inequality. This inequality and its generalizations are applie
 d to a number of open problems related to Moser-Trudinger type inequalitie
 s\, mean field equations and Onsager vortices\, etc\, and yield optimal re
 sults. In particular we confirm the best constant of a Moser-Truidinger ty
 pe inequality conjectured by A. Chang and P. Yang in 1987. This is a joint
  work Changfeng Gui.\n\nJoin Zoom Meeting\n\nhttps://umontreal.zoom.us/j/8
 9528730384?pwd=IF10Cg8C0YfogaBlL6F1NboPaQvAaV.1\n\nMeeting ID: 895 2873 03
 84\n\nPasscode: 077937\n\n \n
DTSTART:20240913T180000Z
DTEND:20240913T190000Z
SUMMARY:Amir Moradifam (UC Riverside)
URL:/mathstat/channels/event/amir-moradifam-uc-riversi
 de-359561
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