AbstractAfter a review about Xiao's approach of Slope inequalities and its generalization to positive characteristic, a Miyaoka-Yau type inequality for a minimal smooth surface of general type is given as an application. This is based on some work with Professor Yi Gu, Hao Sun and Xiaotao Sun.SpeakerResearch Interestsmoduli of vector bundle
Abstract:The Brascamp-Lieb inequalities are deep and beautiful inequalities on Euclidean spaces introduced by Brascamp and Lieb in 1976. They cover many fundamental and important inequalities such as Hölder's inequality, the Loomis-Whitney inequality, Young's inequality, etc. In this talk we give a short introduction to the Brascamp-Lieb inequalities and their applications. We prove one type o...