In 2017, the sphere packing problem in dimension 8 and 24 was solved. The Leech lattice gives the optimal solution in dimension 24. Since the other dimensions except 1,2,3 are open, the Leech lattice is especially interesting. In this talk I would like to give an application of the theory of Leech lattice to Algebraic Geometry.
I will discuss the automorphism groups of Kummer and Enriques surfaces, and some recent progress. Speaker(s): Shigeyuki Kondo (Nagoya University)