BIMSA > Geometry and Dynamics Seminar On the solvability of general inverse $\sigma_k$ equations
On the solvability of general inverse $\sigma_k$ equations
Organizer
Yuwei Fan
Speaker
Chao-Ming Lin
Time
Wednesday, May 28, 2025 9:00 AM - 10:00 AM
Venue
A3-2-301
Online
Zoom 815 762 8413 (BIMSA)
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 Leung—Yau—Zaslow (dHYM) 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.