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The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic Geometry and Coding Theory"
April 4, 2011 17:30, Moscow, IUM (Bolshoi Vlas'evskii per., 11), room 309
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Kummer and Niemeier (Fano and Mathieu - II)
S. S. Galkin
Institute for the Physics and Mathematics of the Universe, University of Tokyo
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Abstract:
I'll explain some prehistory for the first talk: Kachru-Vafa's formula, Lian-Yau's "mirror moonshine", Golyshev's "miraculous eta-product formula". I'll also show the other relations between Kummer surfaces, Niemeier lattices and Mathieu groups (after Mukai-Kondo, Eguchi-Ooguri-Tachikawa and others), and construct a local system of 24 elements associated with a family of K3's.
Series of reports
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