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Differential Geometry Seminar - Chao-Ming Lin

Chao-Ming Lin
May 2, 2025
4:00 pm - 5:00 pm
Math Tower (MW) 154

Chao-Ming Lin
The Ohio State University

Title
On the solvability of general inverse $\sigma_k$ equations

Abstract
In this talk, first, I will introduce general inverse $\sigma_k$ equations in Kähler geometry. Some classical examples are the complex Monge–Ampère equation, the J-equation, the complex Hessian equation, and the deformed Hermitian–Yang–Mills equation. Second, by introducing some new real algebraic geometry techniques, we can consider more complicated general inverse $\sigma_k$ equations. Last, analytically, we study the solvability of these complicated general inverse $\sigma_k$ equations.

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Seminar - Differential Geometry