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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. 

Seminar website:  https://sites.math.rutgers.edu/~yyli/Learningseminar.html