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Permutation groups, Mock modular forms, K3 surfaces and Moonshine (I)

Thursday 26th January 2012 - 14:00 to 15:00
INI Seminar Room 1
I will discuss connections between sporadic groups and modular forms including the original connection between the monster and the modular function J, the more recent connections between the Mathieu group M24 and the mock modular form appearing in the decomposition of the elliptic genus of K3 surfaces into N=4 characters, and some work in progress which generalizes this latter connection to other groups and Jacobi forms.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons