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Riemann–Hilbert correspondence for irregular holonomic \({\mathscr{D}}\)-modules

  • Takagi Lectures
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Japanese Journal of Mathematics Aims and scope

Abstract

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

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Authors and Affiliations

  1. Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan

    Masaki Kashiwara

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  1. Masaki Kashiwara
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Correspondence to Masaki Kashiwara.

Additional information

Communicated by: Toshiyuki Kobayashi

This article is based on the 16th Takagi Lectures that the author delivered at the University of Tokyo on November 28 and 29, 2015.

The research was supported in part by Grant-in-Aid for Scientific Research (B) 15H03608, Japan Society for the Promotion of Science.

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Kashiwara, M. Riemann–Hilbert correspondence for irregular holonomic \({\mathscr{D}}\)-modules. Jpn. J. Math. 11, 113–149 (2016). https://doi.org/10.1007/s11537-016-1564-7

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  • DOI: https://doi.org/10.1007/s11537-016-1564-7

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