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Cohomological Hall algebras associated to curves

By Olivier Schiffmann

We will define and give some algebraic properties of cohomological Hall algebras of the stacks of coherent, resp. Higgs sheaves on a compacts Riemann surface X. We will in particular show how these are related to the structure of the cohomology rings of the moduli spaces of semistable vector bundles, resp. Higgs bundles on X.

Information about the video

  • Date of recording 1/17/19
  • Date of publication 1/28/19
  • Institution IHES
  • Format MP4

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