The workshops will take advantage of the visits to Oxford in the summer of 2012 of M. Andrew Moshier and Leonardo Cabrer, and follow a very successful informal workshop on duality theory held in Oxford in August 2011. The topics for the two meetings, by following the links below; there is no charge for registration. If you are interested in participating in one or both of the workshops it would be very helpful if you could complete the registration form as soon as possible, even if your attendance is uncertain and you are not yet sure whether you would wish to give a talk. This will assist the organisers in keeping track of the number of places available.