Mock Modular Forms, the Largest Mathieu Group, K3 Surfaces, and Rademacher Sums

In the first part of the talk I will give an overview of a recent result relating a set of mock modular forms and the largest Mathieu group M24. I will also briefly discuss the context (string theory on K3 surfaces) in which this relation has been studied.
If time permits, in the second part of my talk I will discuss the relevant mock modular forms as Rademacher sums, and how it compares to the genus zero property of the Monstrous Moonshine.

A partial list of the references is:
http://arxiv.org/pdf/1004.0956v2
http://arxiv.org/abs/1005.5415v2
http://arxiv.org/pdf/1110.3859