Entrance hall of the ICMS Workshop

Geometric rigidity theory and applications

May 30, 2016 - Jun 03, 2016

ICMS, 15 South College Street

Organisers

Name Institution
Connelly, Robert Cornell University
Jackson, Bill Queen Mary University of London
Power, Stephen University of Lancaster
Schulze, Bernd University of Lancaster

A selection of photographs of this workshop are available from the ICMS Flickr account.

Geometric Rigidity Theory is concerned with the study of bar-joint frameworks and related constraint systems of geometric objects. The area can be traced back to classical work of Euler, Cauchy and Maxwell on the rigidity of polyhedra and skeletal frames. However in recent years the subject has become particularly active, drawing on diverse areas of mathematics and engaging with a growing range of applications. The activity is driven in part by the solution of some longstanding open problems, such as the so-called Molecular Conjecture, and the determination , of the generic nature of global rigidity, and by new connections with other mathematical areas, such as matrix completion theory or machine learning. Impetus in the area has also come from new themes such as constraint systems with point-group or crystallographic symmetries and constraint systems in general normed linear spaces. Both the generic combinatorial theory and symmetric geometric theories are  flourishing and in recent years the subject in general has increased its international visibility as an active research area.

The workshop will bring together researchers in order to advance the subject of Geometric Rigidity through expositions of recent results, through consultations between participants and through ensuing disseminations in research journals.

Details regarding participation in the workshop will appear here in due course. 

 

Arrangements

The workshop will begin with registration on Monday morning 30 May (08:30-09:00) and close around 13:00 on Friday 3 June 2016.   Please take these timings into account when booking your travel. 

Participation

Invited delegates were sent an emailed invitation from ICMS, on behalf of the Scientific Organisers, at the beginning of March.

Registration

 There will be a £70 registration fee for this workshop.

  • Payment can be made on arrival at ICMS - at Registration we will accept cash, credit/debit card payments and sterling cheques (payable to “Heriot-Watt University”).  Unfortunately, we do not yet have an on-line payment system at ICMS.   If you wish to pay by credit/debit card, please complete the form (available in the link below) and bring the completed form to Registration.  

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.   

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 (volcanic ash disruptions) that may occur on your trip.

A taxi directly from the airport will cost approximately 16.00 to 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, 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 other railway stations are Haymarket and Edinburgh Park at the West End of the city centre.

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.

Accommodation

ICMS will organise accommodation for all invited participants

Catering

The workshop grant will cover refreshments throughout the event, lunch on three days, an informal wine reception and a workshop dinner.

Dinner

There will be a workshop dinner on Thursday 2 June at Blonde restaurant , 75 St.Leonard's Street, Edinburgh at 19:00.

Public Lecture

On Tuesday 31 May, Patrick Fowler (University of Sheffield), will give a Public Lecture (title and abstract below).  Doors will open to the Public at 17.30, with the Lecture beginning at 18.00.  The Public Lecture will be followed by an informal wine reception in the Chapterhouse, Level 1, at ICMS from 19.00-20.00.  Seats have been reserved in the Lecture Theatre for all the workshop participants so there is no need for you to book a seat.

'Symmetry in chemistry and engineering: Maxwell still going strong at 185'
The ideas of James Clerk Maxwell, a giant of 19th century science, are still helping to make new links between research on structures as small as molecules or as big as bridges.  When Maxwell's ideas are combined with consideration of symmetry,  engineers, and chemists can learn something from each other about structures that don't fall down, toys, viruses and polyhedra that change shape, and materials that get fatter when stretched.  This talk will discuss some of these developments, with a minimum of mathematics and a maximum of pictures.

 

 

 

Programme

Please note that this is a Provisional Programme and may be subject to alteration.

PDF of abstracts now available to download

Monday 30 May

08:30-09:00

Registration & Tea/Coffee in the Chapterhouse, Level 1

09:00-09:15

Opening remarks

09:15-10:15

Robert Connelly (Cornell University)
Packing equal disks in a square torus

10:15-10:45

Tea/Coffee in the Chapterhouse, Level 1

10:45-11:15

John Bowers (James Madison University)
Non-globally rigid inversive distance circle packings

11:15-11:45

Ciprian Borcea (Rider University)
Auxetic periodic designs

11:45-12:15

Brigitte Servatius (Worcester Polytechnic Institute)
On the size of 2d rigid and globally rigid subgraphs of of k-valent graphs

12:15-14:15

Lunch in the Chapterhouse, Level 1

14:15-14:45

Offer Shai (Tel Aviv University)
Rigidity theory and geometry in engineering

14:45-15:15

Georg Nawratil (Vienna University of Technology)
A necessary geometric criterion for the mobility of $n$-pods

15:15-15:45

Tea/Coffee in the Chapterhouse, Level 1

15:45-16:15

Franz Kiraly (University College London)
Rigidity, matroids and matrix completion

16:15-16:45

Anthony Nixon (Lancaster University)
Global rigidity of frameworks on surfaces

16:45-18:30

Informal wine reception in the Chapterhouse, Level 1

 

Tuesday 31 May

09:15-10:15

Meera Sitheram (University of Florida)
Refutation of  a maximality conjecture or  a combinatorial characterization of 3D rigidity

10:15-10:45

Tea/Coffee in the Chapterhouse, Level 1

10:45-11:15

John Owen (Siemens UK)
Independence and smoothness for non-generic frameworks

11:15-11:45

Viktoria Kazanitzky (Lancaster University)
Sufficient connectivity conditions for rigidity of symmetric frameworks

11:45-12:15

Hakan Guler (Queen Mary University of London)
Rigidity of body-bar frameworks

12:15-14:15

Lunch provided in the Chapterhouse, Level 1(poster setup)

14:15-14:45

Herman Servatius (Worcester Polytechnic Institute)
Constrained vector configurations

14:45-15:15

Louis Theran (Aalto University)
Generic global and universal rigidity

15:15-15:45

Tea/Coffee in the Chapterhouse, Level 1

15:45-16:15

Oleg Karpenkov (University of Liverpool)
The combinatorial geometry of stresses in frameworks

16:15-16:45

Wai Yeung Lam (Technische Universität Berlin)
Minimal surfaces from discrete harmonic functions

17:30

Doors open to the public

18:00-19:00

Public Lecture by Patrick Fowler (University of Sheffield)
Symmetry in chemistry and engineering: Maxwell still going strong at 185

19:00-20.00

Informal wine reception in the Chapterhouse, Level 1

 

Wednesday 1 June

09:15-10:15

Shin-ichi Tanigawa (CWI (& Kyoto University)
Universal rigidity, singularity degree, and metric polytopes of signed graphs

10:15-10:45

Coffee/Tea in the Chapterhouse, Level 1

10:45-11:15

Ileana Streinu (Smith College)
Polyhedral origami

11:15-11:45

Gaiane Panina (St Petersburg State University)
Discrete morse theory for  configuration spaces of flexible polygons, or solitaire  game on the circle

11:45-12:15

Bryan Chen (UMass Amherst)
Topologically ’polarized’ periodic frameworks and applications to toys and origami

12:15

Free afternoon

 

Thursday 2 June

09:15-10:15

Tibor Jordan (Eötvös University)
Robust tensegrity polygons

10:15-10:45

Coffee/Tea in the Chapterhouse, Level 1

10:45-11:15

Audrey St. John (Mount Holyoke College)
Rigidity for multi-robot formations

11:15-11:45

Jessica Sidman (Mount Holyoke College)
Special positions of bar-and-joint frameworks

11:45-12:15

Derek Kitson (Lancaster University)
A rigidity theory for matrices

12:15-12:20

Group photo to be taken

12:20-14;15

Lunch provided in the Chapterhouse, Level 1

14:15-14:45

Igor Rivin (University of St. Andrews)
To follow

14:45-15:15

Leo Liberti (CNRS LIX, Ecole Polytechnique)
Partial reflection groups and distance geometry of Henneberg graphs

15:15-15:45

Coffee/Tea in the Chapterhouse, Level 1

15:45-16:15

Hattie Serocold (Lancaster University)
Rigidity of frameworks with coordinated bars

16:15-16:45

Katie Clinch (Queen Mary University of London)
Symmetry-forced rigidity of direction-length frameworks

19:00

Workshop Dinner at Blonde Restaurant, 75 St. Leonard's Street, Edinburgh

 

Friday 3 June

09:15-10:15

Simon Guest (University of Cambridge)
Counting points and lines with symmetry

10:15-10:45

Coffee/Tea in the Chapterhouse, Level 1

10:45-11:15

James Cruickshank (National University of Ireland, Galway)
Block and hole graphs: more than one block

11:15-11:45

Hans-Peter Schröcker (University of Innsbruck)
Kempe's universality theorem for rational space curves

11:45-12:00

Break

12:00-12:30

Andras Lengyel (Budapest University of Technology and Economics) & Tibor Tarnai (Budapest University of Technology and Economics)
Motion of a square antiprism ring

12:30-13:00

Vincenzo Vitelli (Leiden University)
Topological mechanical metamaterials

13:00

Close of workshop (please note that no lunch will be provided)

 

 

PDF of abstracts now available to download

 

Presentations:

Presentation Details
Borcea, Ciprian
Auxetic periodic designs
View Abstract Down
Bowers, John
Non-globally rigid inversive distance circle packings
View Abstract Down
Chen, Bryan
Topologically ’polarized’ periodic frameworks and applications to toys and origami
View Abstract Down
Clinch, Katie
Symmetry-forced rigidity of direction-length frameworks
View Abstract Down
Connelly, Robert
Packing equal disks in a square torus
View Abstract Down
Cruickshank, James
Block and hole graphs: more than one block
View Abstract Down
Fowler, Patrick
Symmetry in chemistry and engineering: Maxwell still going strong at 185
View Abstract Down
Guest, Simon
Counting points and lines with symmetry
View Abstract Down
Guler, Hakan
Rigidity of body-bar frameworks
View Abstract Down
Jordan, Tibor
Robust tensegrity polygons
View Abstract Down
Karpenkov, Oleg
The combinatorial geometry of stresses in frameworks
View Abstract Down
Kaszanitzky, Viktoria
Sufficient connectivity conditions for rigidity of symmetric frameworks
View Abstract Down
Kiraly, Franz
Rigidity, matroids and matrix completion
View Abstract Down
Kitson, Derek
A rigidity theory for matrices
View Abstract Down
Lam, Wai Yeung
Minimal surfaces from discrete harmonic functions
View Abstract Down
Lengyel, Andras
Motion of a square antiprism ring
View Abstract Down
Liberti, Leo
Partial reflection groups and distance geometry of Henneberg graphs
View Abstract Down
Nawratil, Georg
A necessary geometric criterion for the mobility of $n$-pods
View Abstract Down
Nixon, Anthony
Global rigidity of frameworks on surfaces
View Abstract Down
Owen, John
Independence and smoothness for non-generic frameworks
View Abstract Down
Panina, Gaiane
Discrete morse theory for configuration spaces of flexible polygons, or solitaire game on the circle
View Abstract Down
Rivin, Igor
To follow
View Abstract Down
Schröcker, Hans-Peter
Kempe's universality theorem for rational space curves
View Abstract Down
Serocold, Hattie
Rigidity of frameworks with a class of coordinated bars
View Abstract Down
Servatius, Brigitte
On the size of 2d rigid and globally rigid subgraphs of of k-valent graphs
View Abstract Down
Servatius, Herman
Constrained vector configurations
View Abstract Down
Shai, Offer
Rigidity theory and geometry in engineering
View Abstract Down
Sidman, Jessica
Special positions of bar-and-joint frameworks
View Abstract Down
Sitharam, Meera
Refutation of a maximality conjecture or a combinatorial characterization of 3D rigidity?
View Abstract Down
St John, Audrey
Rigidity for multi-robot formations
View Abstract Down
Streinu, Ileana
Polyhedral origami
View Abstract Down
Tanigawa, Shin-ichi
Universal rigidity, singularity degree, and metric polytopes of signed graphs
View Abstract Down
Tarnai, Tibor
Motion of a square antiprism ring
View Abstract Down
Theran, Louis
Generic global and universal rigidity
View Abstract Down
Vitelli, Vincenzo
Topological mechanical metamaterials
View Abstract Down

Participants

Name Institution
Borcea, Ciprian Rider University
Bowers, John James Madison University
Chen, Bryan UMass Amherst
Clinch, Katie Queen Mary University of London
Connelly, Robert Cornell University
Cruickshank, James National University of Ireland, Galway
Dewar, Sean Lancaster University
Fowler, Patrick University of Sheffield
Guest, Simon University of Cambridge
Guler, Hakan Queen Mary University of London
Hahn, Elad Tel Aviv University
Jackson, Bill Queen Mary University of London
Jordan, Tibor Eotvos University
Karpenkov, Oleg University of Liverpool
Kaszanitzky, Viktoria Lancaster University
Kiraly, Csaba Eötvös University
Kiraly, Franz
Kitson, Derek Lancaster University
Lam, Wai Yeung Technische Universität Berlin
Lengyel, Andras Budapest University of Technology and Economics
Liberti, Leo CNRS LIX, Ecole Polytechnique
Nawratil, Georg Vienna University of Technology
Nixon, Anthony Lancaster University
Owen, John Siemens UK
Panina, Gaiane St Petersburg State University, SPIIRAS
Power, Stephen University of Lancaster
Prabhu, Rahul University of Florida
Rivin, Igor University of St Andrews
Schröcker, Hans-Peter University of Innsbruck
Schulze, Bernd University of Lancaster
Serocold, Hattie Lancaster University
Servatius, Brigitte Worcester Polytechnic Institute
Servatius, Herman Worcester Polytechnic Institute
Shakir, Qays National University of Ireland-Galway
Sidman, Jessica Mount Holyoke College
Sitharam, Meera University of Florida
St John, Audrey Mount Holyoke College
Stachel, Hellmuth Vienna University of Technology
Streinu, Ileana Smith College
Tanigawa, Shin-ichi CWI (& Kyoto University)
Tarnai, Tibor Budapest University of Technology and Economics
Theran, Louis University of St Andrews
Vitelli, Vincenzo Leiden University