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UID:9ed508ce71c5f087a46f27c0343a6a2d
CATEGORIES:Complex Analysis and Geometry Seminar
CREATED:20220919T122612
SUMMARY:Uniform estimates for complex Monge-Ampere and fully nonlinear equations
LOCATION:Hill Center Room 705
DESCRIPTION:Abstract: Uniform estimates for complex Monge-Ampere equations have been ex
 tensively studied, ever since Yau’s resolution of the Calabi conjecture. Su
 bsequent developments have led to many geometric applications to many other
  fields, but all relied on the pluripotential theory from complex analysis.
  In this talk, we will discuss a new PDE-based method of obtaining sharp un
 iform C^0 estimates for complex Monge-Ampere (MA) and other fully nonlinear
  PDEs, without the pluripotential theory. This new method extends more gene
 rally to other interesting geometric estimates for MA and Hessian equations
 . This is based on the joint works with D.H. Phong, F. Tong.\n
X-ALT-DESC;FMTTYPE=text/html:<p><strong>Abstract</strong>: Uniform estimates for complex Monge-Ampere eq
 uations have been extensively studied, ever since Yau’s resolution of the C
 alabi conjecture. Subsequent developments have led to many geometric applic
 ations to many other fields, but all relied on the pluripotential theory fr
 om complex analysis. In this talk, we will discuss a new PDE-based method o
 f obtaining sharp uniform C^0 estimates for complex Monge-Ampere (MA) and o
 ther fully nonlinear PDEs, without the pluripotential theory. This new meth
 od extends more generally to other interesting geometric estimates for MA a
 nd Hessian equations. This is based on the joint works with D.H. Phong, F. 
 Tong.</p>
CONTACT:Guo Bin (Rutgers- Newark) 
DTSTAMP:20260828T225036
DTSTART;TZID=America/New_York:20220923T103000
DTEND;TZID=America/New_York:20220923T113000
SEQUENCE:0
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