The lecture series by Daniel Huybrechts:
Sporadic simple groups and K3 surfaces
There is mysterious connection between certain sporadic simple groups and K3 surfaces.
It all started with a paper by Mukai who observed that finite groups of symplectic automorphisms
of K3 surfaces can be characterized as subgroups of the Mathieu group M23. Recently, it has become
clear that there is such a link also on the level of derived categories. Here, the Mathieu group
is replaced by the even bigger Conway group.
In these three lectures I shall first review Mukai's
classical result (following Kondo), then talk about derived categories and stability conditions (mainly
on derived categories of K3 surfaces) and explain the derived version of Mukai's result. There might
also be a bit about elliptic genera and conformal field theories (from a Hodge theoretical point of view),
but most of the techniques are from lattice theory and homological algebra.
Organisers
| Vladimir Lazić <lazic [add @math.uni-bonn.de]> Universität Bonn | Nikita Semenov <semenov [add @uni-mainz.de]> Universität Mainz |
Date, Venue, How to Enroll
The conference and the lecture series will take place on 6−8 October 2014 at the Mathematical Institute, University of Bonn, Germany. Click here for location and directions − all talks will be in the Lipschitz Room in the main building of the institute at Endenicher Allee 60, 53115 Bonn. Please contact Mrs Ute Sachinidis <sachinid [add @math.uni-bonn.de]> if you would like to participate − the registration deadline is 5 September 2014. Limited funding is available for young participants.
Supporting Institutions
The conference is made possible by the support of the project SFB/TR 45 of the Deutsche Forschungsgemeinschaft.
