Date | Speaker | Title |

26 September | Jakob Stein (UCL) | \(G_2\) instantons bubbling at infinity on \(S^3 \times \mathbb{R}^4\) |

3 October | ||

10 October 3:30pm in the Topos Note the time! | Fernando Galaz-Garcia (Durham) | Topology and geometry of 3-dimensional Alexandrov spaces |

17 October | Ruadhai Dervan (Glasgow) | The universal structure of moment maps in complex geometry |

24 October | Tathagata Ghosh (Leeds) | Instantons on Asymptotically Conical Spin(7)-Manifolds |

8 NovemberLewis Fry Richardson lecture4:30-5:30pm in P/L/002 | David Tong (Cambridge) | A Chern-Simons Theory for the North Atlantic Ocean |

14 November | ||

21 November | ||

28 November | Ronald Zúñiga-Rojas (Universidad de Costa Rica) | Stratifications on the nilpotent cone of the moduli space of Hitchin pairs |

5 December 3pm in the Dusa McDuff room Note the time and location! | Ana Peon-Nieto (Universidad de Santiago de Compostela) | Hodge bundles of length two in the moduli space of Higgs bundles |

12 December | Dave Smith (Yale-NUS) | Fokas Diagonalization |

Date | Speaker | Title |

16 January | ||

23 January | Samuel Borza (Trieste) | The measure contraction property in the sub-Finsler Heisenberg group |

30 January | Jaime Mendizabal (UCL) | Hyper-Kähler moduli spaces of monopoles with arbitrary symmetry breaking |

6 February | Georgios Kydonakis (Patras) | Fock bundles and Teichmüller spaces |

20 February | Ilyas Khan (Duke) | A compact and non-convex ancient solution to curve shortening flow |

19 March | ||

16 April | ||

30 April | Thomas Mark (Virginia) | TBA |

7 May | ||

14 May |

2021-22

2020-21

2019-20

This is joint work with Matt Turner (Bath).

This is joint work with Michael Hallam.

This is a joint work with Kenshiro Tashiro, Mattia Magnabosco, and Tommaso Rossi.

We will introduce a similar class of augmented bundles over a topological surface that we call Fock bundles which does not require fixing any complex structure on the underlying surface. We conjecture that there is an alternative passage to the one given by the non-abelian Hodge correspondence from such pairs to certain higher rank Teichmüller spaces that is independent of the complex structure on the surface.

This is joint work with Charles Reid (Austin) and Alexander Thomas (Heidelberg).

This talk is based on joint work with S. Angenent, C. Olson, and Y. Zhang.