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SUMMARY:Xinyu Fang (Harvard)
DTSTART:20241125T153000Z
DTEND:20241125T170000Z
DTSTAMP:20260422T220631Z
UID:STAGE/120
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/120/">
 Proof of the Riemann-Hilbert Correspondence</a>\nby Xinyu Fang (Harvard) a
 s part of STAGE\n\nLecture held in Room 2-255 in the MIT Simons Building.\
 n\nAbstract\nAfter a quick review of the key concepts we learned before\, 
 I will present the statement and a sketch of the proof of the Riemann-Hilb
 ert correspondence\; namely\, the equivalence of categories between algebr
 aic vector bundles with regular integrable connections and holomorphic vec
 tor bundles with an integrable connection on a complex algebraic variety (
 and its analytification\, respectively). After that\, I will also present 
 a simple example to illustrate why we should have the regularity condition
  imposed on the algebraic side. We will follow Chapter II Section 5 of Del
 igne.\n
LOCATION:https://researchseminars.org/talk/STAGE/120/
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