Riemann-Hilbert correspondence for irregular holonomic D-modules

TL;DR

This survey explores the Riemann-Hilbert correspondence for irregular holonomic D-modules, utilizing subanalytic sheaves to extend classical results to irregular cases.

Contribution

It introduces the use of subanalytic sheaves in the context of the Riemann-Hilbert correspondence for irregular holonomic D-modules, providing a new perspective.

Findings

Extended the Riemann-Hilbert correspondence to irregular holonomic D-modules.

Utilized subanalytic sheaves as a key tool in the analysis.

Provided a comprehensive overview based on the 16th Takagi lecture.

Abstract

This is a survey paper on the Riemann-Hilbert correspondence on (irregular) holonomic D-modules, based on the 16-th Takagi lecture (2015/11/28). In this paper, we use subanalytic sheaves, an analogous notion to the one of indsheaves.