Date | Speaker | Title |

4 October | Martin Speight (Leeds) | The \(L^2\) geometry of the moduli space of vortices on the two-sphere in the dissolving limit |

11 October | Wilhelm Klingenberg (Durham) | The Toponogov Conjecture on convex proper embedded discs in \(\mathbb{R}^3\) |

Date | Speaker | Title |

17 January | ||

31 January | ||

14 February | ||

21 February | ||

28 February | Gonçalo Oliveira (IST Lisbon) | From electrostatics to geodesics in K3 surfaces |

14 March | Sebastian Schulz (Johns Hopkins) | Nilpotent Higgs bundles and families of flat connections |

Date | Speaker | Title |

18 April | Aleksander Doan (UCL) | Holomorphic Floer theory and the Fueter equation |

25 April 2-3pm in the Topos | Hartmut Weiß (Kiel) | On the modularity of gravitational instantons of type ALG |

25 April 3:30-4:30pm in G/N/135 | Michael Singer (UCL) | Compactification of Nahm and other moduli spaces |

2 May | Alex Waldron (Wisconsin) | Strong gap theorems via Yang-Mills flow |

9 May | Claudio Meneses (Kiel) | Variation of Kähler metrics on moduli of parabolic bundles |

2020-21

2019-20

Joint work with René García Lara.

This is joint work with Brendan Guilfoyle.

This talk is based on joint work with Semon Rezchikov.

This is joint work with Laura Fredrickson, Rafe Mazzeo and Jan Swoboda.

In this talk I will describe how this variation problem can be addressed in terms of analytic invariants associated to the spectral geometry of Fuchsian groups. I will also explain how this problem determines the analogous variations of hyperkähler metrics on moduli of parabolic Higgs bundles, and its relation to the classification of gravitational instantons of ALG type.

This is work in progress, joint with Hartmut Weiß.