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GAIA Seminar on Complex Analytic Geometry - Ngoc Cuong Nguyen

posted Nov 24, 2016, 10:10 PM by Hyemin Shin
-  Title: Weak solutions of complex Hessian equations on compact Hermitian manifolds

-  Speaker: Dr. Ngoc Cuong Nguyen (GAIA)

- Abstract: This is a joint work with Slawomir Kolodziej. We prove the existence of weak solutions of complex m-Hessian equations on compact Hermitian manifolds for the nonnegative right hand side belonging to L^p, with p>n/m, (n is the dimension of the manifold). For smooth, positive data the equation has been recently solved by Szekelyhidi and Zhang. We also give a stability result for such solutions.

- Place: GAIA Seminar Room (#106, Math Science bldg.)
- Date: 8 - 10 p.m. on Monday, 5 December 2016

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