Matrix factorizations are a simple construction in commutative algebra introduced by Eisenbud to describe maximal Cohen-Macaulay modules over a hypersurface ring. In the thirty plus years since their discovery they have become increasingly relevant in mathematics and physics. The goals of this workshop are to provide an introduction, report on recent developments and encourage dialogue among experts from different areas of mathematics who study matrix factorizations.
We have gathered background material on the subject here. This includes several lists of references for different areas of work that have involved matrix factorizations. We've taken a very broad view: the lists include work that has used matrix factorizations and work that may be relevant to people who use matrix factorizations. Please send comments, papers that have been missed, etc. to the organizers. This is very much a work in progress.
There will be introductory talks on the first day by Igor Burban on the representation theory of matrix factorizations, Wolfgang Ebeling on the singularity theory of hypersurfaces, Daniel Murfet on Buchweitz's equivalent descriptions of the stable derived category, and Nils Carqueville on matrix factorizations in field and string theory. The introductory talks will be followed by research talks. We hope these talks will demonstrate the wide range of topics in current mathematical research that relate to matrix factorizations.
The afternoon of last day we will have a problem session in which we discuss open problems and future directions.
There will be a conference dinner at 19:00 on Friday May 6 at the Brauhaus, in the city center.
If you would like to participate in the workshop please email one of organizers.
A limited number of rooms has been reserved at the Arcadia Hotel at the reduced rate of 70 EUR per night. Please contact Frau Windhorst by March 31st if you wish to make a reservation. First come, first served. Speaker's accommodation will be booked for them. For more information, see the Bielefeld accomodation website.