Yorkshire Durham Geometry Day 2025

Wednesday 10 Dec 2025, 13:00 → 17:00 Europe/London

L50 (Psychology Auditorium) (Psychology Building)

Fernando Galaz-García (Durham University), Martin Kerin (Durham University)

 

Yorkshire Durham Geometry Days

The Yorkshire and Durham Geometry Days (YDGD) are jointly organised by the Universities of Durham, Leeds, and York and are held three times per year. The meetings are funded by the London Mathematical Society via its Joint Research Groups in the UK - Scheme 3, grant 32520. 

This iteration will take place at Durham University on 10 December 2025.

Speakers

• John Parker (Durham University)
• Ben Lambert (University of Leeds)
• Marie-Anne Bourgie (Université Laval)
• Thomas Galvin (University of Leeds)
• Lewis Tadman (Durham University)

 

The talks will be in room L50 (Psychology auditorium) from 1:00 pm - 5:00 pm.

We will meet at 12:30 pm in the Mathematics and Computer Science building lobby.

Organisers

Fernando Galaz-García, Martin Kerin & Wilhelm Klingenberg, Durham University.
Derek Harland & Francesca Tripaldi, University of Leeds.
Ian McIntosh & Graeme Wilkin, University of York.

 

1 TBA

TBA

Speaker: John Parker (Durham University)

2 TBA

TBA

Speaker: Lewis Tadman

3 A new metric for hyperbolic SU(2) 2-monopoles

There is significant interest in the L^2 metric on the moduli space of SU(2) Euclidean monopoles, both because it is hyperkähler, and because it models monopole dynamics. No direct analogue of such a metric exists for hyperbolic monopoles, though alternatives have been suggested. I will discuss a new metric on the moduli space of parity inversion symmetric Hyperbolic SU(2) 2-monopoles based on the methods of O. Nash. This is joint work with my supervisor Derek Harland and Linden Disney-Hogg.

Speaker: Thomas Galvin (University of Leeds)

15:05 Tea Break

4 SL2-Tilings with Translational Symmetry

An SL2-tiling is a bi-infinite matrix in which all adjacent 2 × 2 minors are equal to 1. Positive integer SL2-tilings were introduced by Assem, Reutenauer and Smith as generalisations of classical Conway–Coxeter frieze patterns. We show that positive integer SL2-tilings with translational symmetry are in bijection with triangulations of annuli. We use this correspondence to study the properties of periodic positive integer SL2-tilings. This is joint work with Véronique Bazier-Matte, Anna Felikson, and Pavel Tumarkin.

Speaker: Marie-Anne Bourgie (Université Laval)

5 TBA

TBA

Speaker: Ben Lambert (University of Leeds)