西南交通大学数学学院邀请高牛山老师作了一场题为“Unbounded order convergence and w*-representations of risk measures(无界阶收敛以及w * -风险的措施表示)”的讲座，数学学院现有铁道部和四川省重点学科一个：应用数学；硕士学位点三个：基础数学、应用数学、概率论与数理统计；本科专业三个：数学与应用数学、信息与计算科学、统计学。讲座的主要内容是：

　　在这次演讲中，我们将讨论无限阶收敛的概念和它的一些应用，以功能分析和金融数学。具体而言，我们将讨论三个议题：(1)无界阶收敛的功能分析方面；(2)申请顺序连续preduals的研究;(3)应用的风险的措施表示理论。特别是，我们会告诉每一个Banach格至多有一个阶连续前双和表征那些确实有这样一个predual。我们也将展示双Orlicz空间，这使我们能够建立W *的一些秩序拓扑性质 - 的风险的措施表示。讲座是基于弗拉基米尔Troitsky和Foivos Xanthos联合工作。

　　原文：In this talk, we will discuss the notion of unbounded order convergence and some of its applications to Functional Analysis and Mathematical Finance. Specifically, we will cover three topics: (1) functional analytic aspects of unbounded order convergence; (2) application to the study of order continuous preduals; (3)application to representation theory of risk measures. In particular, we will show that every Banach lattice has at most one order continuous pre-dual and characterize those which do have such a predual. We will also demonstrate some order-topology properties of dual Orlicz spaces, which enable us to establish w*-representations of risk measures. The talk is based on joint work with Vladimir Troitsky and Foivos Xanthos.