Mathieu twining characters for K3

Twining characters and Picard groups in rational conformal field theory

Picard groups of tensor categories play an important role in rational conformal field theory. The Picard group of the representation category C of a rational vertex algebra can be used to construct examples of (symmetric special) Frobenius algebras in C. Such an algebra A encodes all data needed to ensure the existence of correlators of a local conformal field theory. The Picard group of the ca...

Maximal Subgroups of the Mathieu Group M23 and Symplectic Automorphisms of Supersingular K3 Surfaces

We show that the Mathieu groups M22 and M11 can act on the supersingular K3 surface with Artin invariant 1 in characteristic 11 as symplectic automorphisms. More generally we show that all maximal subgroups of the Mathieu group M23 with three orbits on 24 letters act on a supersingular K3 surface with Artin invariant 1 in a suitable characteristic.

Notes on the K3 Surface and the Mathieu Group M 24

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Metric packing for K3+K3

Edward Wing Twining, 1887-1939.

Edward Wing Twining (Fig 1) generally is regarded as the “father” of British neuroradiology. Born on March 18th 1887, he came from a line of doctors, his grandfather and father being in family practice at Salcombe, Devon, in the south of England. He was educated at Epsom College and University College Hospital where he qualified in medicine in 1913. As a student dresser (medical student on a su...