Speaker: Xinyu Fang (Harvard)

Title: Proof of the Riemann-Hilbert Correspondence

Abstract:

After a quick review of the key concepts we learned before, I will present the statement and the proof of the Riemann-Hilbert correspondence; namely, the equivalence of categories between algebraic vector bundles with regular integrable connections and holomorphic vector bundles with an integrable connection on a complex algebraic variety (and its analytification, respectively). We will follow Chapter II Section 5 of Deligne.

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*Note change in room location