Notices of the International Consortium of Chinese Mathematicians

Volume 10 (2022)

Number 1

Kashiwa lectures on new approaches to the Monster

Pages: 71 – 88

DOI: https://dx.doi.org/10.4310/ICCM.2022.v10.n1.a4

Authors

John McKay (CICMA and Department of Mathematics and Statistics, Concordia University, Montreal, Quebec, Canada)

Yang-Hui He (London Institute for Mathematical Sciences, Royal Institution of Great Britain, London; Merton College, University of Oxford; Department of Mathematics, City University of London; and School of Physics, NanKai University, Tianjin, China)

Abstract

These notes stem from lectures given by the first author (JM) at the 2008 “Moonshine Conference in Kashiwa” (organized by the Institute for the Physics and Mathematics of the Universe (IPMU) under the support of the Graduate School of Mathematical Sciences, the University of Tokyo) and contain a number of new perspectives and observations on Monstrous Moonshine. Because many new points have not appeared anywhere in print, it is thought expedient to update, annotate and clarify them (as footnotes), an editorial task which the second author (YHH) is more than delighted to undertake. We hope the various puzzles and correspondences, delivered in a personal and casual manner, will serve as diversions intriguing to the community.

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JM is grateful to the organizers for the Kashiwa conference for their warm hospitality and that of the NSERC of Canada. YHH would like to thank the Science and Technology Facilities Council, UK, for grant ST/J00037X/1, and the Chinese Ministry of Education, for a Chang-Jiang Chair Professorship at NanKai University.

Published 16 August 2022