Room 318

Calabi-Yau manifolds and sporadic groups

Abhiram M Kidambi

Technische Universität, Wien

One of the recent topics of interest in mathematical string theory is the study of the Mathieu moonshine and how it is realized in a string theoretic framework. It has been known for a while that the elliptic genus of the K3 surface has connections to the dimensions of the irreducible representations of the M_24 Mathieu group. In this talk, I shall give an overview of the (Mathieu) moonshine and present the results of a study of the (twined) elliptic genera expansion of higher dimensional CY d-folds and study possible relations of the elliptic genera to sporadic groups. This talk is based on the paper arxiv.org/abs/1711.09698