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Fano and Mathieu

S. S. Galkin

Institute for the Physics and Mathematics of the Universe, University of Tokyo

Abstract: There is a well-known construction of modular forms from conjugacy classed of Mathieu group M24. It is less known that G-Fano threefolds also naturally produce modular forms. Why these two lists of modular forms are so similar is the mystery. I'll also review other two appearances of Mathieu group in the context of K3 surfaces.
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© Steklov Math. Inst. of RAS, 2024