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学术报告
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Riemann-Hilbert correspondence for irregular holonomic D-modules
【2014.1.22 5:00pm,C110】

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 2014-1-20 

  Colloquia & Seminars 

  Speaker

  柏原正樹 院士,京都大学数理解析研究所

  Title

     Riemann-Hilbert correspondence for irregular holonomic D-modules             

  Time

  2014.1.22 5:00pm                                     

  Venue

  C110 

  Abstract

 The classical Riemann-Hilbert correspondence establishes an equivalence between the derived category of regular holonomic D-modules and the derived category of constructible sheaves. Recently, I, with Andrea D'Agnolo, proved a Riemann-Hilbert correspondence for holonomic D-modules which are not necessarily regular (arXiv:1311.2374). In this correspondence, we have to replace the derived category of constructible sheaves with a full subcategory of ind-sheaves on the product of the base space and the real projective line. The construction is therefore based on the theory of ind-sheaves by Kashiwara-Schapira, and also it is influenced by Tamarkin's work. Among the main ingredients of our proof is the description of the structure of flat meromorphic connections due to Takuro Mochizuki and Kiran Kedlaya.

本报告属于巴黎北京东京算术几何讨论班,主场在东京大学,晨兴和法国IHéS通过视频连接。报告结束后晨兴将提供盒饭。欢迎参加!

  Affiliation

柏原正樹是日本学士院数学领域仅有的四名院士之一。

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