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Seminars

Algebraic Geometry Seminar

Generators for the cohomology of the moduli space of irregular parabolic Higgs bundles.

2024/03/14 (Thu.) 15:30~17:30
  • Date : 2024/03/14 (Thu.) 15:30~17:30
  • Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
  • Speaker : Jia Choon Lee (Peking University)
  • Organizer : Arkadij Bojko Email: abojko (at) gate (dot) sinica (dot) edu (dot) tw
  • Website : https://wiki.preschema.com/ag-seminar
  • Abstract : It is known that the cohomology ring of the moduli space of stable Higgs bundles on a curve can be generated by the tautological classes by a result of E. Markman. In this talk, I will explain how to generalize this result to the moduli spaces of stable irregular parabolic Higgs bundles on a curve (with or without fixing the polar parts). The key ingredient is to employ a spectral correspondence due to Kontsevich-Soibelman and Diaconescu-Donagi-Pantev.
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