Entrance hall of the ICMS Workshop

Matrix factorisations and related topics

Jul 24, 2017 - Jul 28, 2017

ICMS 15 South College Street

Organisers

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.

We gratefully acknowledge support by the EPSRC Postdoctoral Fellowship EP/L017962/1.

 

Provisional talk titles include: 

Michael Brown: Topological K-theory of matrix factorisation categories 

Eleonore Faber: Noncommutative resolutions of discriminants of reflection groups

Yuki Hirano: Relative singular locus and matrix factorisations 

Joseph Karmazyn: Knorrer periodicity for cyclic quotient surface singularities

Daniel Murfet: A-infinity minimal models and matrix factorisations 

David Ploog: Tilting chains of negative curves on surfaces 

Ana Ros Camacho: Matrix factorisations and the Landau-Ginzburg/conformal field theory correspondence   

 

Arrangements

INVITED SPEAKERS:  Invited speakers were sent an invitation email from ICMS, on behalf of the scientific organisers, in November 2016.

PUBLIC APPLICANTS: The deadline for applications was Friday 28 April 2017. All applicants have been informed of decisions.

Venue
The workshop will be held at ICMS, 15 South College Street, Edinburgh. 

UK Visas
If you are travelling from overseas you may require an entry visa. A European visa does not guarantee entry to the UK. Please use this link to the UK Visas site to find out if you need a visa and if so how to apply for one. 

Travel
Information about travel to the UK and Edinburgh is available here.

Please note that it is your responsibility to have adequate travel insurance to cover medical and other emergencies that may occur on your trip.

A taxi directly from the airport will cost approximately 20.00 to 25.00 GBP to the city centre for a one-way journey. There is also a bus service direct from the airport to the city centre which will cost 4.50 GBP single or 7.50 GBP return - the Airlink 100.  This is a frequent service (every 10 minutes during peak times) and will bring you close to Waverley Railway Station, only a short walk to the accommodation and the workshop venue (see map in 'Venue' section above). 

Lothian buses charge £1.60 for a single, £4.00 for a day ticket. Please note that the exact fare is required and no change is given.

If travelling by train, please note that Edinburgh has several railway stations - Waverley Railway Station being the main station and closest to the workshop venue at 15 South College Street.  If you alight at Edinburgh Waverley, the workshop venue is an easy 10 minute walk over North and South Bridge. The second large railway station is called Haymarket and is at the West End of the city centre.    Please be aware that there is also an Edinburgh Park railway station but this is at the west side of the city some way from the city centre.  For ICMS, use Edinburgh Waverley.

Programme

This is a provisional programme and may be subject to alteration.

 

Monday 24 July 2017

09:00-09:30

Registration and coffee/tea in the Chapterhouse, Level 1

09:30-10:30

Michael Brown (Hausdorff Center for Mathematics, Bonn) 
Topological K-theory of matrix factorization categories

10:30-11:15

Coffee/tea in the Chapterhouse, Level 1

11:15-12:15

Graham Leuschke (Syracuse University)
A generalization of Knörrer periodicity, with applications to noncommutative hypersurfaces

12:15-13:30

Lunch provided in the Chapterhouse, Level 1

13:30-14:30

David Ploog (Freie Universität Berlin)
Tilting chains of negative curves on surfaces

14:45-15:45

Joseph Karmazyn (University of Sheffield)
Knörrer periodicity for cyclic quotient surface singularities

15:45-16:30

Coffee/tea in the Chapterhouse, Level 1

16:30-17:30

Daniel Murfet (University of Melbourne)
A-infinity minimal models and matrix factorisations

18:00-19:30

Science ceilidh and wine reception 

 

Tuesday 25 July 2017

09:30-10:30

Hailong Dao (University of Kansas)
On rigid MCM modules

10:30-11:15

Coffee/tea in the Chapterhouse, Level 1

11:15-12:15

Greg Stevenson (University of Glasgow) 
Thick subcategories for graded hypersurfaces

12:15-13:30

Lunch provided in the Chapterhouse, Level 1

13:30-14:30

Igor Burban (University of Cologne)
Cohen-Macaulay modules and Calogero-Moser systems

14:30-15:45

Ana Ros Camacho (Universiteit Utrecht)
Matrix factorisations and the Landau-Ginzburg/conformal field theory correspondence

15:45-16:30

Coffee/tea in the Chapterhouse, Level 1

16:30-17:30

Atsushi Takahashi (Osaka University)
Matrix factorisations and orbifold Jacobian algebras

17:30-19:00

doors open to public: 17.45
Public lecture by Daniel Murfet (University of Melbourne)

19:00

Informal wine reception

 

Wednesday 26 July 2017

09:00-10:00

TBC
to follow

10:00-11:00

Ed Segal (Imperial College London)
to follow

11:00-11:30

Coffee/tea in the Chapterhouse, Level 1

11:30-12:30

Yuki Hirano (Kyoto University)
Relative singular locus and matrix factorisations 

12:30-12.35

Group photograph to be taken at the front entrance

12:35 onwards

Free afternoon  

 

 

Thursday 27 July 2017

09:30-10:30

Spela Spenko (Vrije Universiteit Brussels)
To follow

10:30-11:30

Coffee/tea in the Chapterhouse, Level 1

11:30-12:30

Olaf Schnürer (University of Bonn)
to follow

12:30-13:30

Lunch in the Chapterhouse, Level 1

13:30-14:30

Colin Ingalls (University of New Brunswick)
Noncommutative curves of finite representation type

14:45-15:45

Eleonore Faber (University of Michigan)
Noncommutative resolutions of discriminants of reflection groups

15:45-16:30

Coffee/tea in the Chapterhouse, Level 1

16:30-17:30

Michel van den Bergh (University of Hasselt)
to follow

17:30-19:00

free time

19:00

Workshop dinner at Blonde Restaurant, St Leonard's Street, Edinburgh (see map) 

 

Friday 28 July 2017

09:30-10:30

Karin Baur (University of Graz)
Dimer models with boundary and Grassmannian cluster categories

10:45-11:15

Alastair King (University of Bath)
to follow

11:45-13:15

Lunch in the Chapterhouse, Level 1

13:15-14:15

Osamu Iyama (Nagoya University)
To follow 

14:30-15.30

Ragnar-Olaf Buchweitz (University of Toronto Scarborough)
to follow

15:30

Close of workshop  

 

Presentations:

Presentation Details
Baur, Karin
Dimer models with boundary and Grassmannian cluster categories
View Abstract Down
Brown, Michael
Topological K-theory of matrix factorization categories
View Abstract Down
Burban, Igor
Cohen-Macaulay modules and Calogero-Moser systems
View Abstract Down
Dao, Hailong
On rigid MCM modules
View Abstract Down
Faber, Eleonore
Noncommutative resolutions of discriminants of reflection groups
Hirano, Yuki
Relative singular locus and matrix factorisations
View Abstract Down
Ingalls, Colin
Noncommutative curves of finite representation type
View Abstract Down
Karmazyn, Joseph
Knörrer periodicity for cyclic quotient surface singularities
View Abstract Down
Leuschke, Graham
A generalization of Knorrer periodicity, with applications to noncommutative hypersurfaces
View Abstract Down
Murfet, Daniel
A-infinity minimal models and matrix factorisations
View Abstract Down
Ploog, David
Tilting chains of negative curves on surfaces
View Abstract Down
Ros Camacho, Ana
Matrix factorisations and the Landau-Ginzburg/conformal field theory correspondence
View Abstract Down
Takahashi, Atsushi
Matrix factorisations and orbifold Jacobian algebras
View Abstract Down

Participants

Name Institution
Baur, Karin University of Graz
Bayer, Arend University of Edinburgh
Booth, Matt University of Edinburgh
Brown, Michael Hausdorff Center for Mathematics, Bonn
Buchweitz, Ragnar-Olaf University of Toronto Scarborough
Burban, Igor University of Cologne
Dao, Hailong University of Kansas
Donovan, Will Kavli IPMU, University of Tokyo
Faber, Eleonore University of Michigan
Gratz, Sira University of Glasgow
Hara, Wahei Waseda University
Hardiman, Leonard University of Bath
Hirano, Yuki Kyoto University
Ingalls, Colin University of New Brunswick
Iyama, Osamu Nagoya University
Kalck, Martin University of Edinburgh
Karmazyn, Joseph University of Sheffield
Kędzierski, Dawid Szczecin University
King, Alastair University of Bath
Kluck, Timo Universiteit Utrecht
Lekili, Yanki Kings College London
Leuschke, Graham Syracuse University
Meachan, Ciaran University of Glasgow
Meltzer, Hagen Szczecin University
Murfet, Daniel University of Melbourne
Nakajima, Yusuke Kavli IPMU
Ploog, David Freie Universität Berlin
Raedschelders, Theo Free University of Brussels (VUB)
Rizzardo, Alice University of Edinburgh
Ros Camacho, Ana Universiteit Utrecht
Schnürer, Olaf University of Bonn
Segal, Ed Imperial College London
Spenko, Spela Vrije Universiteit Brussels
Stevenson, Greg University of Glasgow
Takahashi, Atsushi Osaka University
Thibault, Louis-Philippe Norwegian University of Science and Technology
van den Bergh, Michel University of Hasselt
Wemyss, Michael University of Glasgow
Wong, William TU Kaiserslautern