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Seminars

Algebraic Geometry Seminar

Globalizing the microlocal Riemann-Hilbert correspondence

2024/01/12 (Fri.) 10:30~11:30
  • Date : 2024/01/12 (Fri.) 10:30~11:30
  • Location : Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
  • Speaker : Christopher Kuo (University of Southern California)
  • Abstract : For complex manifolds, the Riemann-Hilbert correspondence generalizes the classical correspondence between finite dimensional local systems and vector bundles with connections to perverse sheaves and regular holonomic D-modules. These later objects are in fact microlocal in nature that they can be regarded as living on the cotangent bundles, and the correspondence admits a microlocalization as well. Continuing from an earlier joint work with Cote, Nadler, and Shende, we will globalize this correspondence to general complex contact manifolds in an upcoming work.
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