DescriptionThe existence and classification problem for maximal growth distributions on smooth manifolds has garnered much interest in the mathematical community in recent years. Prototypical examples of maximal growth distributions are contact structures on $3$-dimensional manifolds and Engel distributions on $4$-dimensional manifolds. The existence and classification of maximal growth distrib...
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