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UID:ed168be056a3bdc5e653b6884f6989aa
CATEGORIES:Learning Seminar on PDE and Applications
CREATED:20210503T102242
SUMMARY:Singular Complex Monge Ampere equations
LOCATION:zoom
DESCRIPTION:Abstract: The Complex Monge-Ampere equation has the form MA(phi) = mu, wher
 e mu is a given Borel measure on a domain in C^n (resp. complex manifold) X
 , phi is an unknown plurisubharmonic (resp. quasi-plurisubharmonic) functio
 n on X, and MA is the Monge-Ampere operator. The existence, uniqueness and 
 regularity questions have been widely studied in the case where mu is absol
 utely continuous, but much less is known is known if mu is singular (e.g. i
 f mu charges a point). I will discuss some partial results in the singular 
 case and will also describe some examples.\n
X-ALT-DESC;FMTTYPE=text/html:<p><strong>Abstract:&nbsp;</strong>The Complex Monge-Ampere equation has th
 e form MA(phi) = mu, where mu is a given Borel measure on a domain in C^n (
 resp. complex manifold) X, phi is an unknown plurisubharmonic (resp. quasi-
 plurisubharmonic) function on X, and MA is the Monge-Ampere operator. The e
 xistence, uniqueness and regularity questions have been widely studied in t
 he case where mu is absolutely continuous, but much less is known is known 
 if mu is singular (e.g. if mu charges a point). I will discuss some partial
  results in the singular case and will also describe some examples.</p>
CONTACT:Jacob Sturm Rutgers University
X-EXTRAINFO:https://rutgers.zoom.us/j/92489375526?pwd=K0xyMEpHQXIrc0NLMEtqUWdSNHF4QT09#
 success\nMeeting ID: 924 8937 5526 Passcode: 565238
DTSTAMP:20260828T185707
DTSTART;TZID=America/New_York:20210504T124000
DTEND;TZID=America/New_York:20210504T144000
SEQUENCE:0
TRANSP:OPAQUE
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