Season 05 - Yang-Mills and \(4\) dimensional topology

Reading group on Yang-Millls with a particular view towards the four-dimensional case. Recordings are below and may also be found at the YouTube Playlist

Introduction to Yang-Mills equations

  • Speaker: Stepan Hudecek (University of Queensland)
  • Date: 5 February 2024

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Homotopy classification of \(4\) manifolds via the intesection form

  • Speaker: Rhuaidi Burke (University of Queensland)
  • Date: 5 February 2024

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Self-dual and Anti self-dual Yang-Mills connections and problems

  • Speaker: Bai-Ling Wang (Australian National University)
  • Date: 5 February 2024

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Max Orchard - Fibre Bundles, Principal G-Bundles

  • Speaker: Max Orchard (University of Queensland)
  • Date: 8 March 2024

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Max Orchard - The Yang-Mills Equations

  • Speaker: Max Orchard (University of Queensland)
  • Date: 22 March 2024

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The Maxwell Equations, the associated Cauchy Problem, connected to Yang-Mills

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Stucture of Yang-Mills equations

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Uhlenbeck Compactness

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The removable singularity theorem for harmonic maps

  • Speaker: Brad Wilson (UCL)
  • Date: 24 May 2024

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Harmonic maps and the small energy estimate

  • Speaker: Brad Wilson (UCL)
  • Date: 7 June 2024

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Harmonic maps in Higher Dimensions

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Singular sets of energy minimizing maps

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Uhlenbeck’s theorem about the removable singularities

  • Speaker: Stepan Hudecek (University of Queensland)
  • Date: 23 August 2024

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Uhlenbeck’s theorem about the removable singularities (part 2)

  • Speaker: Stepan Hudecek (University of Queensland)
  • Date: 13 September 2024

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