Esma Hançer - The Geometry of the Complex World

Описание к видео Esma Hançer - The Geometry of the Complex World

Abstract: In this presentation, we will explore some intriguing results in complex geometry. We’ll begin by discussing complex structures and differential forms, and then move on to complex manifolds. This will
lead us to K ̈ahler manifolds, a type of complex manifold with a rich structure. We’ll see that the operators in Hodge theory on K ̈ahler manifolds lead to significant theorems, such as the Hodge Decomposition and the Hard Lefschetz Theorem. Finally, we’ll conclude with a discussion of the Hodge Conjecture and its significance.

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