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On the solvability of general inverse $\sigma_k$ equations


Speaker: Chao-Ming Lin, Ohio State University
Location: 2112 MSB
Start time: Tue, Apr 30 2024, 2:00PM

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.