中科院数学与系统科学研究院
数学研究所
华罗庚数学重点实验室
华罗庚青年数学论坛
综合报告
报告人： 吴磊（The University of Utah）
题 目：Log D-modules and index theorems
时 间：2019.05.22（星期三），11:00-12:00
地 点：数学院南楼N913室
Abstract : 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.
