Research group
Geometry
Mon, 02 Nov 2026
14:15
14:15
L4
Mon, 26 Oct 2026
14:15
14:15
L4
Mon, 19 Oct 2026
14:15
14:15
L4
Mon, 30 Nov 2026
14:15
14:15
L4
Mon, 01 Jun 2026
14:15
14:15
L4
Lagrangian mean curvature flow in the Kummer K3 surface
Carlos Ochoa Flores
((Mathematical Institute University of Oxford))
Mon, 04 May 2026
14:15
14:15
L4
A universal Higgs bundle moduli space
Nigel Hitchin
((Mathematical Institute University of Oxford))
Abstract
The moduli space of Higgs bundles on a compact Riemann surface C for a group G is diffeomorphic to the character variety of representations
of the fundamental group in G. One description depends on the complex structure of C, the other is purely topological. Using a natural symplectic Ehresmann connection we show how to build the complex structure on the family of Higgs bundle moduli spaces over Teichmuller space and derive some consequences for the energy of the associated harmonic maps.
Mon, 18 May 2026
14:15
14:15
L2
L^2 and twistor metrics for hyperbolic monopoles
Derek Harland
(Leeds)
Abstract
This talk will present a new approach to the geometry of moduli spaces of hyperbolic monopoles. It is well-known that the L^2 metric on the moduli space of hyperbolic monopoles, defined using a Coulomb gauge fixing condition, diverges. Recently we have shown that a supersymmetry-inspired gauge-fixing condition cures this divergence, resulting in a pluricomplex geometry that generalises the hyperkaehler geometry of euclidean monopole moduli spaces. We will compare this with metrics introduced by Nash and Bielawski—Schwachhofer, and present explicit calculations of both metrics for charge 2 monopoles.