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.