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Mathematics Seminar
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Umbral Moonshine
SPEAKER  |  Michael Griffin
INSTITUTE  |  Princeton University
DATE  |  February 5(Fri), 2016
TIME  |  15:00
PLACE  |  1424
Keyword  |  
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ABSTRACT  |  In recent years, Moonshine type-phenomena have been observed for other groups besides the Monster. The Umbral Moonshine conjectures of Cheng, Duncan, and Harvey connects the automorphism groups of the 24 Niemeier lattices to the Fourier coefficients of certain mock modular forms. Many mathematical physicists anticipate physical interpretations for Umbral Moonshine similar to WittenĄ¯s application of Monstrous Moonshine. The first case of Umbral Moonshine, connected to the Leech Lattice, is covered by Monstrous Moonshine, while the second is covered by GannonĄ¯s proof in 2013 of Moonshine for the Mathieu group M24. In joint work with Ken Ono and John Duncan, we verify the remaining 22 cases.
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