| Speaker: | Anne-Sophie Kaloghiros (Brunel University London) |
|---|---|
| Title: | Wall crossing for K-moduli of Fano threefolds |
| Date (JST): | Mon, Oct 28, 2024, 13:00 - 14:00 |
| Place: | Seminar Room A |
| Abstract: |
I will discuss joint work with Ivan Cheltsov, Maksym Fedorchuk and Kento Fujita. In this talk, I will describe the component of the K-moduli space of smoothable Fano threefolds of anticanonical degree 24 associated to the deformation family 4.1 in the classification due to Mori and Mukai. Smooth Fano threefolds in this family are hypersurfaces of multi degree (1,1,1,1) in (P^1)^4 (a product of four copies of P^1) and are K-polystable; I will describe singular K-polystable degenerations of these. I will relate this K-moduli space to K-moduli spaces of pairs ((P^1)^4, cX) where X is a Fano 3-fold in family 4.1, as c varies 0<c<2, and discuss wall crossing for these. |
