Schedule
We will be back in Term 3 on Microsoft Teams.
Past and future sessions:
21st January (Miles Reid): Introduction and organisation
28th January (Alessio Corti): K3 surfaces and Fano 3-folds
4th February (Nina Morishige): Moduli of vector bundles on K3 surfaces
11th February (David Fernandez-Caballero): Case g = 6 - Part 1
18th February (David Fernandez-Caballero): Case g = 6 - Part 2
25th February (Muhammad Manji): The Brill-Noether number
4th March (Qianyi Shu): Curves of genus 6
11th March: Cancelled
17th March: Cancelled
25th March (Chunyi Li): Vector bundles and the Kuznetsov component of some Fano threefolds
TBD (-) Case g = 9
TBD (Shengxuan Liu): Case g = 7
TBD (Erroxe Etxabarri-Alberdi): Case g = 8
...
TBD (-) Proof of the genus bound
...
We will need some background for the cases g = 7 and g = 9: orthogonal and Lagrangian Grassmannians, respectively.
The case g = 10 is treated in the notes, and g = 12 is fairly different, that is why we have not included them yet.
This is just an outline. In particular, the order and dates are flexible, we might need two talks for a given topic, etc.