Log D-modules and Index Theorems
发布时间：2019年04月18日
浏览次数：6513
发布者: He Liu
主讲人： Lei Wu (University of Utah)
活动时间： 从 2019-04-25 15:30 到 16:30
场地： 北京国际数学研究中心，镜春园78号院（怀新园）78301室
I will first talk about log D-modules and related properties of log D-modules. For instance, I will discuss characteristic cycles and (weak) Riemann-Hilbert correspondence in the log case. Using log D-module, I will prove an index theorem for perverse sheaves on non-compact varieties, which generalizes the Kashiwara-Dubson index theorem. Finally, I will talk about a non-compact Riemann-Roch theorem using the index theorem. This work is joint with Peng Zhou.
