Geometric Flows Program Seminar: Adam Jacob, Harvard

Title: A Lagrangian mean curvature type flow for holomorphic line bundles
Speaker: Adam Jacob, Harvard
Date: Friday, December 05, 2014
Time: 02:30pm – 03:30pm
Place: Lecture Hall 102, Simons Center


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Abstract: Let L be a holomorphic line bundle over a compact Kahler manifold X. Motivated by mirror symmetry, in this talk I will address the deformed Hermitian-Yang-Mills equation on L, which is the line bundle analogue of the special Lagrangian equation in the case that X is Calabi-Yau. I will show solutions are unique global minimizers of a positive functional. To address existence of solutions, I will introduce a line bundle analogue of the Lagrangian mean curvature flow, and prove convergence in certain cases. This is joint work with S.-T. Yau.