Number Theory Seminar

Speaker: Matthias Schütt (Hannover)

Title: Finite symplectic automorphism groups of supersingular K3 surfaces

Abstract: Automorphism groups form a classical object of study in algebraic geometry. In recent years, a special focus has been put on automorphisms of K3 surface, the most famous example being Mukai’s classification of finite symplectic automorphism groups on complex K3 surfaces. Building on work of Dolgachev-Keum, I will discuss a joint project with Hisanori Ohashi (Tokyo) extending Mukai’s results to fields positive characteristic. Notably, we will retain the close connection to the Mathieu group M₂₃ while finding many larger groups compared to the complex setting.

The talk will take place on Zoom. If you would like to receive the Zoom link and are not part of our current NT Seminar mailing list, please contact the organizer.