Resumen de The alternating group of degree 6 in the geometry of the Leech lattice and K3 surfaces

JongHae Keum, Keiji Oguiso, De-Qi Zhang

• The alternating group of degree 6 is located at the junction of three series of simple non-commutative groups: simple sporadic groups, alternating groups and simple groups of Lie type. It plays a very special role in the theory of finite groups. We shall study its new roles both in a finite geometry of a certain pentagon in the Leech lattice and also in the complex algebraic geometry of K3 surfaces.