Entrance hall of the ICMS Workshop

Minimal free resolutions, Betti numbers, and combinatorics

Jun 01, 2015 - Jun 05, 2015

ICMS, 15 South College Street, Edinburgh

Organisers

Name Institution
Hering, Milena University of Edinburgh
Schreyer, Frank-Olaf Universität des Saarlandes

Bringing together researchers working on minimal free resolutions, combinatorics, and algebraic geometry this workshop will be a forum to exchange open questions and develop further directions of research. Topics covered by the workshop will include: Boij-Soderberg theory; asymptotic syzygies; combinatorial methods in understanding minimal free resolutions of monomial, toric ideals, or ideals associated to graphs; and methods of representation theory to understand Veronese embeddings.

We are grateful for the support from the Edinburgh Mathematical Society and the Glasgow Mathematical Journal Learning and Research Support Fund.

 

 

Arrangements

The workshop will begin with registration at 09.00 - 09.40 on Monday 1 June and close at 12.30 on Friday 5 June 2015.   

 

Participation 

Attendance at this workshop has now closed.  

 

Venue and Talks
The workshop will be held at 15 South College Street, Edinburgh.  You may also find this map useful for the workshop.  All lectures will be held in the Newhaven Lecture Theatre.    The Lecture Theatre is equipped with a data projector, computer, visualiser (the new generation of overhead projectors) and two blackboards.  The projector and one board may be used simultaneously.  It is best to bring your presentation on a memory stick to use in our ICMS computer.   Alternatively, it is possible for you to use your own laptop with our dataprojector, but please be aware that you may have to alter your laptop resolutions/settings. 

 

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 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 4.00 single or 7.00 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 and the workshop venue. 

Lothian buses charge £1.50 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 meeting venue is an easy 10 minute walk over North and South Bridge.  The other railway stations are Haymarket and Edinburgh Park but please note that these stations are at the West End of the city centre.

 

Accommodation 

  • ICMS will organise accommodation for Invited Participants (this will be specified in your invitation email).
  • Public Applicants are asked to arrange and pay for your own accommodation (only once your application has been accepted).   Some suggestions are below:

    Masson House, Pollock Halls of Residence, The University of Edinburgh, 18 Holyrood Park Road, Edinburgh EH16 5AY  (approx 70.00 GBP per night)
    0800 028 7118 (UK only) - +44 (0)131 651 2189 - http://www.book.accom.ed.ac.uk/
    University of Edinburgh accommodation. Pollock Halls is about a 20-25 minute walk.
    Masson House at Pollock Halls is very suitable and many of the participants will stay there.

    Jurys Inn Edinburgh, 43 Jeffrey Street, Edinburgh EH1 1DH (approx 75.00-90.00 GBP per night)
    +44 (0)131 200 3300 - www.jurys-edinburgh-hotels.com 
    Only a 5 minute walk from ICMS. 

    Edinburgh City Hotel, 79 Lauriston Place, Edinburgh, EH3 9HZ  (approx 70-80 GBP per night)
    +44 (0)131 622 7979 - http://www.edinburghcityhotel.com/ 

    St Christophers Hostel, 9-13 Market Street, Edinburgh EH1 1DE  (approx 25.00 or less depending on offers available)
    +44 (0)20 7407 1856 -  www.st-christophers.co.uk - bookings@st-christophers.co.uk 
    This is Youth Hostel accommodation. 

Further details and many more suggestions for accommodation can be found here 


Wireless Access
The workshop venue, 15 South College Street, has wireless access throughout. On arrival at Registration you will be given instructions and a code for accessing the wireless network.  For those without laptops, there will also be a couple of computers available for you to check your emails.  

Registration Fee

A 70.00 GBP registration fee is payable by all.

 

Programme

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


Monday 1 June 2015

09.00-10.00

Registration & coffee in the Chapterhouse, Level 1

10.00-11.00

Gavril Farkas (Humboldt Universität zu Berlin)
The Green-Lazarsfeld secant conjecture

11.00-12.00

Alexander Engström (Aalto University)
Cellular resolutions

12.00-14.00

Lunch provided in the Chapterhouse. Followed by free time/time for discussion. 

15.00-16.00

Jurgen Herzog (Universität Duisburg-Essen)
Pseudo-Gorenstein and level Hibi rings

16.00-16.30

Coffee/Tea in the Chapterhouse

16.30-17.30

Victor Lozovanu (Universita di Milano-Bicocca)
Syzygies on abelian surfaces

 

Tuesday 2 June 2015

09.00-10.00

Aldo Conca (Univerista degli Studi di Genova)
Homological properties of Koszul algebras
link to pdf
link to pdf

10.00-11.00

Sandra Di Rocco (KTH Royal Institute of Technology)
Toric vector bundles and polytopes

11.00-11.30

Coffee/Tea in the Chapterhouse

11.30-12.30

Wouter Castryck (Universiteit Gent)
A Kp1 conjecture for toric surfaces
pdf pf presentation 

12.30

Workshop group photograph to be taken at front entrance

12.35-14.00

Lunch provided in the Chapterhouse

14.00-15.00

Gregory Smith (Queen's University, Kingston)
Nonnegativity certificates on real projective curves

15.00-15.30

Coffee/Tea in the Chapterhouse

15.30-17.00

Five-minute talks

17.00-18.30

Wine reception in the Chapterhouse

 

Wednesday 3 June 2015

09.00-10.00

Sijong Kwak (Korea Advanced Institute of Science and Technology)
Equations, syzygies and classification of projective algebraic sets with respect to Betti tables
pdf of presentation

10.00-11.00

Volkmar Welker (Philipps-Universität Marburg)
Asymptotic syzygies of Stanley Reisner Rings of iterated subdivisions
pdf of presentation

11.00-11.30

Coffee/Tea in the Chapterhouse

11.30-12.30

Daniel Erman (University of Wisconsin)
Ulrich bundles supported on the diagonal

12.30-14.00

Lunch provided in the Chapterhouse

14.00  Free afternoon

 

Thursday 4 June 2015

09.00-10.00

Takayuki Hibi (Osaka University)
Regularity of edge ideals and dominating induced matchings
link to pdf

10.00-11.00

Lawrence Ein (University of Illinois at Chicago)
Asymptotic syzygies of Algebraic Varieties
pdf of presentation 

11.00-11.30

Coffee/Tea in the Chapterhouse

11.30-12.30

Jessica Sidman (Mount Holyoke College)
Syzygies, secants, and subspaces

12.30-14.00

Lunch provided in the Chapterhouse. Followed by free time/time for discussion. 

15.00-16.00

Claudiu Raicu (University of Notre Dame)
The syzygies of some thickenings of determinantal varieties

16.00-16.30

Coffee/Tea in the Chapterhouse

16.30-17.30

Jerzy Weyman (University of Connecticut)
On the free resolutions of length three

19.00

Informal dinner at Blonde Restaurant, 71-75 St. Leonard Street, Edinburgh

 

Friday 5 June 2015

09.00-10.00

Gavin Brown (University of Warwick)
Orbifold cancellation and free resolutions

10.00-11.00

Winfried Bruns (Universität Osnabrück)
Ideals generated by superstandard tableaux

11.00-11.30

Coffee/Tea in the Chapterhouse

11.30-12.30

Hal Schenck (University of Illinois Urbana-Champaign)
Algebra and geometry of Wachspress surfaces

12.30

Close of workshop

Presentations:

Presentation Details
Brown, Gavin
Orbifold cancellation and free resolutions
View Abstract Down
Bruns, Winfried
Ideals generated by superstandard tableaux
View Abstract Down
Castryck, Wouter
A Kp1 conjecture for toric surfaces
View Abstract Down
Conca, Aldo
Homological properties of Koszul algebras
View Abstract Down
Di Rocco, Sandra
Toric vector bundles and polytopes
View Abstract Down
Ein, Lawrence
Asymptotic Syzygies of Algebraic Varieties
View Abstract Down
Engström, Alexander
Cellular resolutions
View Abstract Down
Erman, Daniel
Ulrich bundles supported on the diagonal
View Abstract Down
Farkas, Gavril
The Green-Lazarsfeld secant conjecture
View Abstract Down
Herzog, Jurgen
Pseudo-Gorenstein and level Hibi rings
View Abstract Down
Hibi, Takayuki
Regularity of edge ideals and dominating induced matchings
View Abstract Down
Kwak, Sijong
Equations, syzygies and classification of projective algebraic sets with respect to Betti tables.
View Abstract Down
Lozovanu, Victor
Syzygies on abelian surfaces
View Abstract Down
Raicu, Claudiu
The syzygies of some thickenings of determinantal varieties
View Abstract Down
Schenck, Hal
Algebra and Geometry of Wachspress surfaces
View Abstract Down
Sidman, Jessica
Syzygies, secants, and subspaces
View Abstract Down
Smith, Gregory
Nonnegativity certificates on real projective curves
View Abstract Down
Welker, Volkmar
Asymptotic Syzygies of Stanley Reisner Rings of iterated subdivisions
View Abstract Down
Weyman, Jerzy
On the free resolutions of length three
View Abstract Down

Participants

Name Institution
Agostini, Daniele Humboldt Universität zu Berlin
Balletti, Gabriele Stockholm University
Benson, David University of Aberdeen
Boij, Mats KTH Royal Institute of Technology
Boocher, Adam University of Edinburgh
Bouchat, Rachelle Indiana University of Pennsylvania
Brown, Gavin University of Warwick
Brown, Tricia Armstrong State University
Brundu, Michela University of Trieste (Italy)
Bruns, Winfried Universität Osnabrück
Caminata, Alessio Universität Osnabrück
Castryck, Wouter Universiteit Gent
Chardin, Marc Institut Mathématique de Jussieu Université Pierre et Marie Curie
Clarke, Nicholas University of Manchester
Conca, Aldo Univerista degli Studi di Genova
D'Ali, Alessio Università degli Studi di Genova
De Negri, Emanuela Dipartimento di Matematica, Università di Genova
Di Marca, Michela University of Genoa
Di Rocco, Sandra KTH
Dochtermann, Anton University of Texas at Austin
Dufresne, Emilie University of Durham
Ein, Lawrence University of Illinois at Chicago
Engström, Alexander Aalto University
Erman, Daniel University of Wisconsin
Faridi, Sara Dalhousie University/TU Darsmtadt
Farkas, Gavril Humboldt Universität zu Berlin
Fink, Alex Queen Mary University of London
Gorla, Elisa Universite de Neuchatel
Haase, Christian Freie Universität Berlin
Hausen, Jürgen Universität Tübingen
Henriques-Cadby, Ines Sheffield University
Hering, Milena University of Edinburgh
Herzog, Jurgen Universität Duisburg-Essen
Hibi, Takayuki Osaka University
Huard, Francois Bishop's University
Juhnke-Kubitzke, Martina Universität Osnabrück
Kasprzyk, Alexander Imperial College London
Katthän, Lukas Universität Osnabrück
Katzman, Mordechai (Moty) University of Sheffield
Kemeny, Michael Humbolt Universitat Berlin
Kosta, Dimitra University of Edinburgh
Krylov, Igor University of Edinburgh
Kwak, Sijong Korea Advanced Institute of Science & Technology
Li, Chunyi University of Edinburgh
Lozovanu, Victor Leibniz Universität Hannover
McCullough, Jason Rider University
Merz, Marianne Freie Universität Berlin
O'Carroll, Liam University of Edinburgh
Ogata, Shoetsu Mathematical Institute, Tohoku University
Ottaviani, Giorgio Universita' di Firenze
Ottem, John University of Oslo
Park, Jinhyung Korea Institute for Advanced Study (KIAS)
Planas-Vilanova, Francesc Universitat Politecnica de Catalunya
Raicu, Claudiu University of Notre Dame
Sammartano, Alessio Purdue University
Sanyal, Raman Freie Universität Berlin
Sbarra, Enrico University of Pisa
Schenck, Hal University of Illinois Urbana Champaign
Schreyer, Frank-Olaf Universität des Saarlandes
Seceleanu, Alexandra University of Nebraska-Lincoln
Sidman, Jessica Mount Holyoke College
Smith, Gregory Queen's University, Kingston
Srinivasan, Hema University of Missouri
Stamate, Dumitru University of Bucharest & Inst. of Mathematics of the Romanian Academy
Strazzanti, Francesco Department of Mathematics, University of Pisa
Symonds, Peter University of Manchester
Tanturri, Fabio Universität des Saarlandes
Tozzo, Laura University of Genoa - Tecnique University of Kaiserslautern
Tran, Bach University of Edinburgh
Welker, Volkmar Philipps-Universität Marburg
Weyman, Jerzy University of Connecticut
Yu, Josephine Georgia Institute of Technology