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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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
Keywords and phrases
- irregular Riemann–Hilbert problem
- irregular holonomic \({{\mathscr{D}}}\)-modules
- ind-sheaves
- subanalytic sheaves
- Stokes phenomenon