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Matrix Factorisations and Related Topics


Name Institution
Kalck, Martin University of Edinburgh
Wemyss, Michael University of Glasgow

Dirac used matrix factorisations in his seminal work on the electron (1920s).  Since then matrix factorisations have percolated deep into many areas of mathematics and theoretical physics.  They underpin many of the modern advances in algebraic geometry, commutative algebra, noncommutative geometry and string theory, and the aim of this workshop is to bring together some of the leading experts in these areas, and to provide a forum in which to discuss some of the latest developments.  

Building on previous meetings held in Bielefeld in 2011 and in Oberwolfach in 2013, this workshop will specifically focus on the following topics and recent advances:

1. Knörrer's periodicity: new interpretations and generalisations.

2. NCCRs:  large scale recent advances in the construction of non-commutative crepant resolutions (NCCRs), and the corresponding relationship to algebraic geometry.

3. Derived matrix factorisations, generalisations of Orlov's theorem and application to variation of GIT and homological projective duality.

4. New applications from matrix factorisations (through Gorenstein projective modules) to cluster algebras and cluster categories.

5. Matrix factorisations in string theory, and applications to NCCRs, GIT and duality.


To be announced


To be announced

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End Date:
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09:00 – 17:00
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15 South College Street


United Kingdom


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