Deformed Hermitian Yang-Mills Equation on Rational Homogeneous Varieties

Explore the deformed Hermitian Yang-Mills (dHYM) equation on rational homogeneous varieties in this 38-minute lecture by Eder M. Correa from UNICAMP. Delve into the equation's origins in string theory and its significance in gauge theory, quantum field theory, and algebraic geometry. Learn about the main objective of proving the existence of solutions to the dHYM equation on rational homogeneous varieties with any invariant Kähler metric. Examine algebraic obstructions to supercritical solutions using central charges defined by analytic subvarieties. Gain insights into this complex mathematical topic and its connections to mirror symmetry in the context of Strominger-Yau-Zaslow theory.