Next Meeting
University of Bath - 25th June 2026
The next meeting of the COW is planned for Thursday 25th June at the University of Bath. The meeting will start at 1:15pm and finish at 5:15pm.
Speakers:- Tarig Abdelgadir (Loughborough)
- Yankı Lekili (Imperial)
- Fatemeh Rezaee (Cambridge)
For those who do not wish to attend the meeting in-person, we also plan to broadcast talks live using Microsoft Teams. Information about how to join the Teams meeting will be circulated to the COW mailing list the day before the meeting. If you would like to join the COW mailing list, instructions on how to do so may be found on the mailing lists page. If you would like to attend the meeting remotely but do not want to join the mailing list, please send an email to Alan Thompson (A.M.Thompson (at) lboro.ac.uk) requesting the meeting information.
Schedule
All talks will take place in room 4W1.7, in 4 West.
| Time | Speaker | Title |
| 1:15pm | Yankı Lekili | Curves on surfaces and moduli of associative algebras |
| 2:45pm | Fatemeh Rezaee | Moduli of sheaves from scattering diagrams |
| 4:15pm | Tarig Abdelgadir | The McKay correspondence via VGIT (case D4) |
Funding and Travel Claims
The COW has some funding to cover travel expenses for UK-based PhD students and postdocs. The COW is currently funded by the Isaac Newton Institute and the Heilbronn Institute for Mathematical Research under the UKRI/EPSRC Additional Funding Programme for Mathematical Sciences (EPSRC EP/V521917/1) and by the London Mathematical Society under a scheme 3 grant.
To ensure that we can fund as many participants as possible, we ask that participants purchase "advance" or "off-peak" train tickets where practical, and non-travel expenses (e.g. accommodation, food) cannot be covered. For those under the age of 30, we also recommend looking into getting a railcard, which can offer substantial savings on the cost of train travel around the UK. Information about how to submit a claim is available on the COW homepage here.
Abstracts
- Yankı Lekili (Imperial) - Curves on surfaces and moduli of associative algebras
- A signed Gauss word determines an immersion of a circle in a surface. We can view such an immersion as an object in a Fukaya category of any partial compactification of the surface. We will explain how to efficiently calculate the corresponding A_infty structures, and use this to construct explicit flat families of finite-dimensional associative algebras. It turns out this construction realizes essentially all associative algebras of rank less than or equal to 4, and all radical square zero algebras (of any rank).
- Fatemeh Rezaee (Cambridge) - Moduli of sheaves from scattering diagrams
- The scattering diagram governing mirror symmetry for the projective plane was initially introduced by Kontsevich and Soibelman. Bousseau showed that the Bridgeland stability manifold can be recovered from this scattering diagram. We give a detailed analysis of this scattering diagram, decompose it into three regions, and apply it to study the birational geometry of moduli spaces on the plane (such as the Hilbert scheme of points and the moduli of one-dimensional rank-zero objects) via wall-crossing in the scattering diagram. This is joint work with Mark Gross.
- Tarig Abdelgadir (Loughborough) - The McKay correspondence via VGIT (case D4)
- For a Kleinian singularity, the McKay correspondence famously relates the orbifold cover of the singularity to a crepant resolution. In type A, both are toric and it is easy to write down a GIT problem which produces both the orbifold and the geometric resolution as possible quotients. However, no such construction seems to be known for types D and E. I'll describe how we fill this gap for the simplest non-trivial case D4. The construction is inspired by Tannaka duality and sets out a strategy to tackle general types D and E. This is joint work with Ed Segal.
This page is maintained by Alan Thompson and was last updated on 12/06/26. Please email comments and corrections to A.M.Thompson (at) lboro.ac.uk.