On Symplectic Transformations of OG10-Type Hyperkähler Manifolds via Cubic Fourfolds

Explore the intricacies of symplectic transformations on OG10-type hyperkähler manifolds in this 30-minute lecture by Stevell Muller at the Hausdorff Center for Mathematics. Delve into the world of non-regular symplectic birational transformations, focusing on the construction of LSV manifolds from cubic fourfolds. Examine the relationship between symplectic automorphisms on cubic fourfolds and their induced symplectic birational transformations on associated hyperkähler manifolds. Learn about the classification of cohomological actions on the OG10-lattice and discover a criterium for determining which actions can be realized as induced from a cubic fourfold on an LSV manifold. Gain insights into the collaborative work with L. Marquand and the contributions of researchers like L. Giovenzana, A. Grossi, C. Onorati, D. Veniani, R. Laza, G. Saccà, and C. Voisin in this specialized field of mathematics.

Stevell Muller: On symplectic transformations of OG10-type hyperkähler manifolds via cubic fourfolds