Symplectic Geometry and Transformation Groups
Jul 05, 2010 - Jul 09, 2010
15 South College Street, Edinburgh EH8 9AA
Organisers
| Name | Institution |
|---|---|
| Cieliebak, Kai | Ludwig-Maximilians-Universität |
| Kedra, Jarek | University of Aberdeen & University of Szczecin |
| McDuff, Dusa | Barnard College, Columbia University |
| Polterovich, Leonid | Tel Aviv University & University of Chicago |
Honorary Guest
Helmut Hofer, Institute for Advanced Study
This meeting will mark the 20th anniversary of the publication of the paper “The topology of symplectic maps” by Helmut Hofer, where he introduced a remarkable metric on the group of Hamiltonian diffeomorphisms of a symplectic manifold. This metric is now known as the Hofer metric and is a classical notion of symplectic geometry. Hofer geometry has been extensively investigated for the last 20 years, but still there are many open problems.
Invited Speakers
Miguel Abreu
Augustin Banyaga
Misha Bialy
Yasha Eliashberg
Misha Entov
Boris Khesin
Francois Lalonde
Kaoru Ono
Yaron Ostrover
Pierre Py
Matthias Schwarz
Jean-Claude Sikorav
Claude Viterbo
Workshop funded by:
EPSRC
LMS
EMS
GMJT
ESF - CAST
PDF file of full report.
Arrangements
Participation
Participation is by invitation only. This workshop is now full and applications are closed. The workshop will begin on Monday morning 5 July and finish on Friday afternoon 9 July 2010.
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. If you do require a visa, ICMS can provide a signed invitation letter.
Venue
The workshop will be held at 15 South College Street, Edinburgh. All lectures will be held in the Newhaven Lecture Theatre. To view this room and a list of the visual equipment available click here. In addition, two blackboards have recently been installed. Follow this link for a map showing the location of 15 South College Street. You may also find these maps useful: Map 1 & Map 2.
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.
Travel
Information about travel to the UK and Edinburgh is available here. Lothian buses charge 1.20 GBP for a single journey and 3.00 GBP for a day ticket. Please note that the exact fare is required and no change is given.
A taxi directly from the airport will cost approximately 18.00 to 20.00 GBP to the city centre for a one-way journey.
From the airport, you can take the airport bus Airlink to the city centre. It will cost you 3.50 GBP for a single ticket, or 6.00 GBP return. More details on the airport bus Airlink is available here. The bus will take you to Waverley Bridge (next to Waverley Railway Station).
If travelling by train, please note that Edinburgh has two 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 map. The second railway station is called Haymarket and is at the West End of the city centre.
Please note that it is your responsibility to have adequate travel insurance to cover medical and other emergencies that may occur on your trip.
Accommodation
If your invitation included the offer of accommodation, then ICMS will arrange this. En-suite rooms have been booked in two locations: The Kenneth MacKenzie Suite in the city centre, and Chancellor's Court in the Pollock Halls area.
Participants are also free to make their own arrangements and may claim back the cost, with receipts, up to a maximum of £55.00 a night for up to 6 nights. A list of Edinburgh accommodation of various sorts and prices is available here .
Meals and Refreshments
Morning and afternoon refreshments will be provided on each day of the workshop.
Buffet lunches will be provided in the Chapterhouse on the ground floor of 15 South College Street on Monday 5 July and Friday 9 July only.
The workshop dinner will take place on Thursday 8 July at 19.00 in The Magnum Restaurant, 1 Albany Street, Edinburgh, EH1 3PY.
The workshop grant will cover the cost of this catering.
Registration
Registration will take place 08.45 - 09.30 on Monday 5 July at 15 South College Street, Edinburgh.
Financial Arrangements
Your individual financial arrangements will be laid out in your invitation and repeated in your final email, which will be sent shortly before the workshop.
If we have agreed to pay some of your travel costs, you will be informed by email. Reimbursement will take place after the workshop and will involve payment directly into your bank account. At Registration you will be given an expenses claim form and this should be submitted to ICMS, with original receipts. It would be helpful if you could bring your bank details to the workshop. In addition to the bank account number, participants from the USA and Canada will require their bank’s routing number, those from the UK will be asked for the bank sort code, and those from Europe and the rest of the world, their IBAN and SWIFT/BIC code. We cannot reimburse any item without a signed claim form and original receipts.
Programme
Monday 5 July
| 8.45 – 9.30 | Registration and coffee in the Chapterhouse, Ground Floor, 15 South College Street |
Chair: Kaoru Ono (Hokkaido University) | |
| 9.30 – 10.30 | Yasha Eliashberg (Stanford University) |
| 10.30 – 11.30 | Miguel Abreu (Instituto Superior Técnico) |
| 11.30 – 12.00 | Informal discussions |
| 12.00 – 14.00 | Lunch provided in the Chapterhouse, Ground Floor |
| Chair: Matthias Schwarz (Universität Leipzig) | |
| 14.00 – 15.00 | Francois Lalonde (Université de Montréal) |
| 15.00 – 15.30 | Tea/Coffee |
| 15.30 – 16.30 | Yasha Savelyev (University of Massachusetts Amherst) |
Tuesday 6 July
|
| Chair: Miguel Abreu (Instituto Superior Técnico) |
| 9.00 – 10.00 | Augustin Banyaga (Pennsylvania State University) |
| 10.00 – 10.30 | Tea/Coffee |
| 10.30 – 11.30 | Misha Bialy (Tel Aviv University) |
| 11.30 – 14.00 | Lunch break |
|
| Chair: Francois Lalonde (Université de Montréal) |
| 14.00 – 15.00 | Kaoru Ono (Hokkaido University) |
| 15.00 – 15.30 | Tea/Coffee |
| 15.30 – 16.30 | Claude Viterbo (Centre de Mathématiques Ecole Polytechnique) |
Wednesday 7 July
|
| Chair: Yasha Eliashberg (Stanford University) |
| 9.00 – 10.00 | Boris Khesin (University of Toronto) |
| 10.00 – 10.30 | Tea/Coffee |
| 10.30 – 11.30 | Helmut Hofer (Institute for Advanced Study) - EMS Lecture |
|
| Free afternoon |
Thursday 8 July
|
| Chair: Augustin Banyaga (Pennsylvania State University) |
| 9.00 – 10.00 | Matthias Schwarz (Universität Leipzig) |
| 10.00 –10.30 | Tea/Coffee |
| 10.30 – 11.30 | Pierre Py (University of Chicago) |
| 11.30 – 14.00 | Lunch break |
| Chair: Misha Entov (Technion - Israel Institute of Technology) | |
| 14.00 – 15.00 | Yaron Ostrover (Institute for Advanced Study) |
| 15.00 – 15.30 | Tea/Coffee |
| 15.30 – 16.30 | Yiming Long (Nankai University) |
| 18.00 – | Workshop Dinner - The Magnum Restaurant, 1 Albany Street, Edinburgh |
Friday 9 July
|
| Chair: Claude Viterbo (Centre de Mathématiques Ecole Polytechnique) |
| 9.00 – 10.00 | Misha Entov (Technion - Israel Institute of Technology) |
| 10.00 – 10.30 | Tea/Coffee |
| 10.30 – 11.30 | Jean-Claude Sikorav (École Normale Supérieure de Lyon) |
| 11.30 – 12.00 | Informal discussions |
| 12.00 – 14.00 | Lunch provided in the Chapterhouse, Ground Floor |
| Chair: TBA | |
| 14.00 – 15.00 | Sheila Sandon (Université de Nantes) |
| 15.00 – 15.30 | Tea/Coffee |
| 15.30 – 16.30 | Open problem session |
Presentations:
| Presentation Details | |
|---|---|
| Abreu, Miguel | |
| Contact homology of good toric contact manifolds | |
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View Abstract
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| Banyaga, Augustin | |
| The Hofer topology on the group of all symplectic diffeomorphisms | |
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View Abstract
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| Bialy, Misha | |
| Integrable geodesic flows on surfaces | |
|
View Abstract
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| Eliashberg, Yasha | |
| More about Legendrian surgery | |
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View Abstract
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| Entov, Michael | |
| C^0-functional theory of Poisson brackets | |
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View Abstract
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| Hofer, Helmut | |
| Polyfolds and SFT | |
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View Abstract
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| Khesin, Boris | |
| Dynamics on diffeomorphism groups: Burgers vs. Euler | |
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View Abstract
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| Lalonde, Francois | |
| Homological Lagrangian monodromy | |
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View Abstract
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| Long, Yiming | |
| Multiple closed geodesics on compact simply connected manifolds | |
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View Abstract
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| Ono, Kaoru | |
| Bulk deformations in Lagrangian Floer theory | |
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View Abstract
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| Ostrover, Yaron | |
| On the uniqueness of Hofer's geometry | |
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View Abstract
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| Py, Pierre | |
| Quasi-morphisms and Hofer's metric | |
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View Abstract
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| Sandon, Sheila | |
| An integer valued bi-invariant metric on the group of contactomorphisms of R^{2n} x S^1 | |
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View Abstract
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| Savelyev, Yasha | |
| On Hofer geometry and quantum classes | |
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View Abstract
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| Schwarz, Matthias | |
| Floer homology for cotangent bundles | |
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View Abstract
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| Sikorav, Jean-Claude | |
| Hofer distance of Lagrangian submanifolds in a cotangent bundle | |
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View Abstract
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| Viterbo, Claude | |
| Non convex Mather theory | |
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View Abstract
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Participants
| Name | Institution |
|---|---|
| Abreu, Miguel | Instituto Superior Técnico |
| Albers, Peter | Purdue University |
| Banyaga, Augustin | Pennsylvania State University |
| Batoreo, Marta | UC Santa Cruz |
| Bialy, Misha | Tel Aviv University |
| Bielawski, Roger | University of Leeds |
| Brandenbursky, Michael | Technion-Israel Institute of Technology |
| Cieliebak, Kai | Ludwig-Maximilians-Universität |
| Diogo, Luis | Stanford University |
| Eliashberg, Yasha | Stanford University |
| Entov, Michael | Technion - Israel Institute of Technology |
| Evans, Jonny | University of Cambridge |
| Fuchs, Urs | Purdue University |
| Gal, Swiatoslaw | Uniwersytet Wrocławski |
| Hein, Doris | UC Santa Cruz |
| Hofer, Helmut | Institute for Advanced Study |
| Humiliere, Vincent | Institut Mathématique de Jussieu |
| Iriyeh, Hiroshi | Tokyo Denki University |
| Karshon, Yael | University of Toronto |
| Katic, Jelena | University of Belgrade |
| Kedra, Jarek | University of Aberdeen & University of Szczecin |
| Khesin, Boris | University of Toronto |
| Lalonde, Francois | Université de Montréal |
| Lanzat, Sergei | Technion - Israel Institute of Technology |
| Laudenbach, Francois | Université de Nantes |
| Long, Yiming | Nankai University |
| McDuff, Dusa | Barnard College, Columbia University |
| Milinkovic, Darko | University of Belgrade |
| Ono, Kaoru | Hokkaido University |
| Ostrover, Yaron | Institute for Advanced Study |
| Polterovich, Leonid | Tel Aviv University & University of Chicago |
| Py, Pierre | University of Chicago |
| Ranicki, Andrew | University of Edinburgh |
| Reis, Rui | University of Aberdeen |
| Sandon, Sheila | Université de Nantes |
| Savelyev, Yasha | University of Massachusetts Amherst |
| Schlenk, Felix | Université de Neuchâtel |
| Schwarz, Matthias | Universität Leipzig |
| Sepe, Daniele | University of Edinburgh |
| Siburg, Karl Friedrich | Technische Universität Dortmund |
| Sikorav, Jean-Claude | École Normale Supérieure de Lyon |
| Smith, Ivan | University of Cambridge |
| Spacil, Oldrich | University of Aberdeen |
| Spaeth, Peter | KIAS |
| Usher, Michael | University of Georgia |
| Viterbo, Claude | Ecole Normale Supérieure |
| Waldron, Jack | University of Oxford |
| Wysocki, Kris | Pennsylvania State University |
| Zapolsky, Frol | Max Planck Institute for Mathematics in the Sciences |
| Ziltener, Fabian | University of Toronto |