标题： 讲座厅分拆的数学 显示英文标题

标题： The mathematics of lecture hall partitions

摘要： 在过去二十年中，讲堂分拆已成为基本的组合结构，导致了经典定理的新推广和解释以及新结果。 近年来，对讲堂分拆的几何方法使用了多面体几何来发现这些丰富的组合对象的进一步性质。 在本文中，我们概述了在试图理解讲堂分拆过程中出现的一些令人惊讶的联系。 显示英文摘要

摘要： Over the past twenty years, lecture hall partitions have emerged as fundamental combinatorial structures, leading to new generalizations and interpretations of classical theorems and new results. In recent years, geometric approaches to lecture hall partitions have used polyhedral geometry to discover further properties of these rich combinatorial objects. In this paper we give an overview of some of the surprising connections that have surfaced in the process of trying to understand the lecture hall partitions.