摘要：本报告将探讨面积谱的若干定义方式，并重点分析其在几何变分理论中的关键作用。具体而言，我们将讨论面积谱在极小曲面和常平均曲率曲面存在性问题中的应用。此外，我们还将介绍面积谱在预定平均曲率曲面理论中的最新研究进展。

This talk will explore several definitions of the area/volume spectrum and focus on its role in geometric variational theory. Specifically, we will discuss applications of the spectrum to existence problems for minimal surfaces and constant mean curvature surfaces. Furthermore, we will present some recent research advances concerning the area/volume spectrum in prescribed mean curvature surface theory.