Speaker: Sergey Galkin

Title: Fano and Mathieu, Kummer and Niemeier

Date: May 4, 2011, 15:00-17:15

Place: Universitaet Wien, Garnisongasse 3, Room O2.07

There is a correspondence between G-Fano threefolds and conjugacy classes in Mathieu group M24. Construction of cusp-forms from conjugacy classes in Mathieu group is well-known. It is less known that A-model on G-Fano threefolds also naturally produce modular forms. Why these two lists of modular forms are so similar is yet another moonshine. One of the possible reasons for this is existence of fiber-wise "symplectic correspondences" for mirror dual family of Kummer surfaces, with some result generalizing Nikulin/Mukai.