Some 20 years ago, matrix models such as the Ishibashi-Kawai-Kitazawa-Tsuchiya (IKKT) model and the Banks-Fischler-Shenker-Susskind (BFSS) model were proposed as constructive definitions of string- and M- theory, respectively. These are maximally supersymmetric multi-matrix models of Yang-Mills type, which generalize the more conventional random matrix models which played an important role in many contexts such as two-dimensional gravity, combinatorics and quantum chaos. These models share many of the rich aspects of string theory, and provide a non-perturbative and constructive framework. However these and similar models are also of interest from a broader perspective.

Topics that will be addressed include:

- numerical results from simulations of IKKT, BFSS and related models, and mathematical models for their description and interpretation,
- The relation with gravity and string theory,
- noncommutative geometry in a finite-dimensional setting,
- finite matrix geometries with Lorentzian signature,
- covariant quantum spaces and symmetries

**Organizers:**

Denjoe o'Connor, Jun Nishimura, Harold Steinacker, and Asato Tsuchiya

**Preliminary list of speakers:**

- David Berenstein
- Maja Buric
- Athanasios Chatzistavrakidis
- Denjoe o'Connor
- Frank Ferrari
- Veselin Filev
- Masafumi Fukuma
- Masanori Hanada
- Jens Hoppe
- Goro Ishiki
- Hikaru Kawai
- Tim Koslowski
- Jun Nishimura
- Sanjaye Ramgoolam
- Hidehiko Shimada
- Harold Steinacker
- Alan Stern
- Fumihiko Sugino
- Asato Tsuchiya
- Satoshi Watamura
- Badis Ydri