May 2, 2025
4:00 pm
-
5:00 pm
Math Tower (MW) 154
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2025-05-02 16:00:00
2025-05-02 17:00:00
Differential Geometry Seminar - Chao-Ming Lin
Chao-Ming LinThe Ohio State UniversityTitleOn the solvability of general inverse $\sigma_k$ equationsAbstractIn 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.
Math Tower (MW) 154
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2025-05-02 16:00:00
2025-05-02 17:00:00
Differential Geometry Seminar - Chao-Ming Lin
Chao-Ming LinThe Ohio State UniversityTitleOn the solvability of general inverse $\sigma_k$ equationsAbstractIn 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.
Math Tower (MW) 154
America/New_York
public
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.
