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Learning Seminar on PDE and Applications

New phenomena in global complex hessian equations (I)

Jian Song, Rutgers University

Location:  Hill Center Room 705
Date & time: Thursday, 06 October 2022 at 1:50PM - 2:50PM

Abstract: We will explain the relations among subsolution, algebraic stability conditions and solvability for global complex hessian equations such as the J-equation and the deformed Yang-Mills equation. We will investigate canonical solutions of minimal singularities when such equations do not admit smooth solutions. These new phenomena occur in explicit examples in complex dimension 2. 

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