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Next Meeting

Cardiff University - 27th June 2024

Our next meeting is planned for Thursday 27th June at Cardiff University. The meeting will begin at 2pm and finish at 6pm; all talks will be held in room 0.01 of the Abacws Building.

Speakers:

Schedule

Time Speaker Title
2:00pm Ed Segal The McKay correspondence via VGIT
3:30pm Evgeny Shinder Gromov's cancellation question in birational algebraic geometry
5:00pm Erroxe Etxabarri Alberdi 1-dimensional components of the K-moduli of Fano 3-folds

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 Heilbronn Institute for Mathematical Research under the UKRI/EPSRC Additional Funding Programme for Mathematical Sciences and 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

Ed Segal (UCL) - The McKay correspondence via VGIT
The McKay correspondence famously relates the minimal geometric resolution to the orbifold resolution for a Kleinian surface singularity. One can ask if this relationship can be produced via VGIT, i.e. if both resolutions can be constructed as GIT quotients of a single master space. This is easy for type A but surprisingly difficult for types D and E. I'll describe a construction that solves the problem for the first non-abelian case, D4. Moreover, the ansatz behind the construction applies in principle to any finite quotient singularity. This is joint work with Tarig Abdelgadir.
Evgeny Shinder (Sheffield) - Gromov's cancellation question in birational algebraic geometry
I explain some cancellation and non-cancellation phenomena in algebraic geometry and relate them to the structure of the Grothendieck ring of varieties and to the groups of birational self-maps of algebraic varieties, in particular the Cremona groups.
Erroxe Etxabarri Alberdi (Warwick) - 1-dimensional components of the K-moduli of Fano 3-folds
We give a friendly introduction to K-stability, and the motivation behind it. We will see how to study and completely describe all one-dimensional components of the K-moduli of smooth Fano 3-folds. And we will finish giving some specific examples for family 3.12 (blow-up of a disjoint line and twisted cubic on P^3). This result is in collaboration with Abban, Cheltsov, Denisova, Kaloghiros, Jiao, Martinez-Garcia and Papazachariou.

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This page is maintained by Alan Thompson and was last updated on 17/06/24. Please email comments and corrections to A.M.Thompson (at) lboro.ac.uk.