Szego Seminar: Kahler Manifolds

Abstract: Kähler geometry lies at the intersection of Symplectic, Riemannian, and complex geometry. The concept of Kähler manifolds was introduced by Erich Kähler in 1933.  This talk aims to understand the definition of Kähler manifolds and the interplay of these different geometric structures. I will start the talk by defining a complex manifold.  Then, I will build the theory to state Hodge decomposition and its applications.