First Erlangen Fall School on Quantum Geometry (2012)
First Erlangen Fall School on Quantum Geometry
Basic Information
When?
Monday, October 08 to Friday, October 12 2012
Description
The FAU Erlangen-Nuernberg initiated the Emerging Field Programme that supports research fields which have demonstrated a promising development but are just beginning to establish themselves in the scientific landscape. One of these “emerging fields” is “Quantum Geometry”. In this Emerging Field Project, the expertise of both mathematicians and physicists are brought together in order to make progress in our understanding of Quantum Gravity. From the physics perspective, the task of combining the principles of General Relativity with those of Quantum Theory is one of the most important research problems in foundational physics. This requires novel mathematical input since the standard techniques of Quantum Field Theory fail in the case of the gravitational interaction. From the mathematical perspective, the new mathematical structures that arise in this effort may trigger progress in various mathematical disciplines such as infinite dimensional geometry, representation theory and related areas of Mathematical Physics. The interaction between mathematicians and physicists is therefore quite natural in this research field but but it poses a challenge due to the different backgrounds that these two research communities have. It is therefore the aim of this school to introduce the concepts and techniques of the respective research programme in a “bilingual” form from which both mathematicians and physicists can profit and can start interacting with each other.
The school covers the following topics:
- Group Valued Moment Maps
- QFT on Curved Spacetimes
- Loop Quantum Gravity
- Infinite Dimensional Poisson Geometry
Lecturers
- Anton Alekseev (Geneva U.)
- Klaus Fredenhagen (Hamburg U.)
- Jerzy Lewandowski (Warsaw U.)
- Tudor Ratiu (EPFL, Lausanne)
- Pavol Severa (Geneva U.)
Program
Program of the School
Conference packages can be obtained at the registration desk from 8:00-9:00 on Monday.
| Time | Monday | Tuesday | Wednesday | Thursday | Friday |
|---|---|---|---|---|---|
| 8:55 – 09:00 | Welcome | ||||
| 09:00-10:30 | Tudor Ratiu | Jerzy Lewandowski | Pavol Severa | Klaus Fredenhagen | Klaus Fredenhagen |
| 10:30-11:00 | Coffee break | Coffee break | Coffee break | Coffee break | Coffee break |
| 11:00-12:30 | Jerzy Lewandowski | Tudor Ratiu | Jerzy Lewandowski | Tudor Ratiu | Anton Alekseev |
| 12:30-14:00 | Lunch break | Lunch break | Lunch break | Lunch break | Lunch break |
| 14:00-15:30 | Tudor Ratiu | Klaus Fredenhagen | Pavol Severa | Jerzy Lewandowski | Tudor Ratiu |
| 15:30-16:00 | Coffee break | Coffee break | Coffee break | Coffee break | Coffee break |
| 16:00-17:30 | Klaus Fredenhagen | Pavol Severa | Klaus Fredenhagen | Anton Alekseev | Jerzy Lewandowski |
| 18:00 | Snacks & Beer | ||||
| 19:00 | Conference Dinner |
Lectures
Lectures at the First Erlangen Fall School on Quantum Geometry
Recorded Lectures
All lectures held at the First Erlangen Fall School on Quantum Geometry were recorded and are available in different viedo formats. The vidoes can be watched under the following link: Recorded lectures
Lecture Notes
The slides of Prof. Tudor Ratiu lectures can be downloaded as a pdf file from here.
Additional References
Group-valued moment maps
Alekseev, A., A. Malkin, and E. Meinrenken,
Lie group valued moment maps,
J. Differential Geom. 48:3 (1998), 445-495
Meinrenken, E.,
Lectures on pure spinors and moment maps,
in Poisson geometry in mathematics and physics, 199-222, Contemp. Math., 450, Amer. Math. Soc., Providence, RI, 2008
Anton Alekseev, Eckhard Meinrenken, Chris Woodward,
Duistermaat-Heckman distributions for group valued moment maps,
Geom. Funct. Anal. 12 (2002), 1-31
Infinite dimensional Poisson Geometry
Beltita, D., T. S. Ratiu, and B. Tumpach,
The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits,
J. Funct. Anal. 247:1 (2007), 138-168
Gay-Balmaz, F., and T. Ratiu,
Affine Lie-Poisson reduction, Yang-Mills magnetohydrodynamics, and superfluids,
J. Phys. A 41 (2008), no. 34, 344007, 24 pp
Odzijewicz, A., and T. Ratiu,
Induced and coinduced Banach Lie-Poisson spaces and integrability,
J. Funct. Anal. 255:5 (2008), 1225-1272
Odzijewicz, A., and T. Ratiu,
Induction for weak symplectic Banach manifolds,
J. Geom. Phys. 58:6 (2008), 701-719
QFT on curved spacetimes
R. Brunetti, K. Fredenhagen and P.L. Ribeiro,
Algebraic Structure of Classical Field Theory I: Kinematics and Linearized Dynamics for Real Scalar Fields,
arXiv:1209.2148 [math-ph].
C. Bar, (ed.) and K. Fredenhagen, (ed.), Quantum field theory on curved spacetimes,
Lect. Notes Phys. 786 (2009) 1.
Further lecture notes (some in German only) can be found here .
Loop quantum gravity
A. Ashtekar and J. Lewandowski,
Background independent quantum gravity: A Status report,
Class. Quant. Grav. 21 (2004) R53 [gr-qc/0404018].
T. Thiemann,
Modern canonical quantum general relativity,
Cambridge, UK: Cambridge Univ. Pr. (2007) 819 p
K. Giesel and H. Sahlmann,
From Classical To Quantum Gravity: Introduction to Loop Quantum Gravity,
PoS QGQGS 2011 (2011) 002 [arXiv:1203.2733 [gr-qc]].
Infinite dimensional Poisson geometry
Beltita, D., T. S. Ratiu, and B. Tumpach,
The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits,
J. Funct. Anal. 247:1 (2007), 138-168
Gay-Balmaz, F., and T. Ratiu,
Affine Lie-Poisson reduction, Yang-Mills magnetohydrodynamics, and superfluids,
J. Phys. A 41 (2008), no. 34, 344007, 24 pp
Odzijewicz, A., and T. Ratiu,
Induced and coinduced Banach Lie-Poisson spaces and integrability,
J. Funct. Anal. 255:5 (2008), 1225-1272
Odzijewicz, A., and T. Ratiu,
Induction for weak symplectic Banach manifolds,
J. Geom. Phys. 58:6 (2008), 701-719
Participants
List of Participants
| Name | Institute |
|---|---|
| Aberkane, Dalel | Mentouri University , Constantine, Algeria |
| Arjang, Mona | Center for Mathematical Sciences, UNAM; Institute of Physics and Mathematics, UMSNH |
| Assanioussi, Mehdi | University of Aix-Marseille |
| Barbosa, Rodrigo | UNICAMP |
| Bärenz, Manuel | University Nottingham |
| Benchikh, Sara | Mentouri University , Constantine, Algeria |
| Benini, Marco | Physics Institute – University of Pavia |
| Bragazzi, Nicola | University of Genoa |
| Casas, Santiago | Institute for Theoretical Physics, Heidelberg |
| Chaharsough Shirazi, Atousa | Florida Atlantic University |
| Cirilo-Lombardo, Diego Julio | IIP(Brazil) and JINR-Dubna |
| Conboye, Rory | University College Cork |
| Danciu, Iulian | West University of Timisoara |
| Dapor, Andrea | Faculty of Physics, University of Warsaw |
| Drobiński, Patryk | University of Warsaw |
| Duch, Paweł | Faculty of Pysics, University of Warsaw |
| Duston, Christopher | Florida State University |
| Fani, Somayeh | Alzahra University |
| Fernández Méndez, Mikel | Instituto de Estructura de la Materia, CSIC |
| Fröb, Markus B. | Universitat de Barcelona |
| Frodden, Ernesto | CPT Marseille |
| Glaser, Lisa | Niels Bohr Institute |
| Gryb, Sean | Utrecht |
| Hakimov, Abdullo | Ulugh Beg Astronomical Institute |
| Hanusch, Maximilian | Uni Paderborn |
| Hao, Cheng | Stony Brook University |
| Jonsson, Robert | University of Waterloo |
| Karami Majoomerd, Asieh | Center for Mathematical Sciences, UNAM; Institute of Physics and Mathematics, UMSNH |
| Kosztołowicz, Michał | University of Wrocław |
| Krüger, Benedikt | FAU Erlangen-Nürnberg, Institut für Theoretische Physik 1 |
| Labus, Peter | LMU Munich |
| Lang, Benjamin | University of York |
| Lang, Thorsten | FAU Erlangen |
| Laska, Alexander | Friedrich-Alexander-Universität Erlangen-Nürnberg |
| Linsefors, Linda | University of Grenoble |
| Lobo, Carlos | Lcls User Organization Committee |
| Lupo, Umberto | University of York |
| Mahu, Augustine Larweh | Kwame Nkrumah University of Science and Technology (KNUST) |
| Marusczyk, Anika | Ruhr Universität Bochum (Institute of Theoretical Hadron and Particle Physics) |
| Merigon, Stephane | FAU Erlangen |
| Oelmann, Almut | RWTH Aachen/ FAU Erlangen-Nürnberg |
| Pieracks, Martin | Ruhr-Universität Bochum (Institute of theoretical hadron particles) |
| Pottel, Steffen | MPI MiS |
| Pranzetti, Daniele | AEI |
| Puchta, Jacek | Faculty of Physics, University of Warsaw |
| Rabold, Manuel | Aarhus University |
| Ramirez, Marcos | IFEG – FaMAF -Universidad Nacional de Córdoba – Argentina |
| Reichert, Thorsten | FAU Erlangen |
| Rennert, Julian | University of Heidelberg |
| Riello, Aldo | CPT Marseille |
| Rokash, Alexander | Uni-Bochum (Institute of theoretical particle physics) |
| Ruiz, Hans-Christian | AEI |
| Scharlau, Jakob | University of Heidelberg |
| Siemens, Dmitrij | Ruhr Uni Bochum – Institute of Theoretical Hadron and Particle Physics |
| Solis, Hugo | University of Costa Rica |
| Stiller, Michael | University Hamburg |
| Stoica, Ovidiu Cristinel | Institute of Mathematics of the Romanian Academy, “Simion Stoilow” |
| Świeżewski, Jędrzej | Faculty of Physics, University of Warsaw |
| Taslimitehrani, Mojtaba | Universität Hamburg |
| Tavakoli, Yaser | Universidade da Beira Interior |
| Thies, Michael | Uni Erlangen-Nürnberg |
| Thürigen, Johannes | AEI Potsdam |
| Tomlin, Casey | Penn State University |
| Trzesniewski, Tomasz | Wroclaw University |
| Vizman, Cornelia | West University of Timisoara |
| Vojinovic, Marko | Institute of Physics, University of Belgrade |
| Vysoký, Jan | CTU in Prague |
| Waldron, James | University of York |
| Wiedenmann, Stefan | LMU Munich |
| Witte, Christof | AEI Potsdam |
| Wöhr, Andreas J. | Eberhard Karls Universität Tübingen |
| Wojnar, Aneta | Institute for Theoretical Physics, University of Wroclaw |
| Zilker, Thomas | FAU Erlangen |
Travel and Directions
Conference Venue
The school takes place at the Department of Mathematics, University of Erlangen-Nünberg, Cauerstraße 11, 91058 Erlangen. The Mathematics Department is located on the South Campus and can be reached from Erlangen Central Station by bus.
At the bus stop (directly in front of the train station) take the Bus 287, in the direction “Erlangen Sebaldussiedlung” or the Bus 293 in the direction “Bruck/Eichendorffschule”. Get off at the bus stop “Technische Fakultät” (indicated by the little blue bus next to the chemistry building in the map).
From this bus stop, it is a very short walk to the department. The bus takes about 20 minutes from the train station to the department, and tickets can be bought either from the ticket machines or directly from the bus driver. A public transport map for Erlangen and an online timetable are available on the website of the local public transport company VGN
By plane via Nuremberg airport
The closest international airport is Nuremberg airport, which is located about 20 km from Erlangen in the city of Nuremberg and has flights to many destinations in Europe and overseas. From the airport, you can take the underground line U2 to Nuremberg Central Station, which takes about 12 minutes. From Nuremberg Central station, there are frequent regional trains to Erlangen Central Station, which take about 15 to 25 minutes. Another option is to take a taxi. A taxi from Nuremberg airport or Nuremberg Central Station to Erlangen costs about 25 to 30 euros.
Regional trains between Nurnberg and Erlangen can be used with a regional ticket that is valid also in the underground. You can buy this ticket directly from the ticket machines in the underground station at the airport by selecting “Erlangen Hbf” as destination. Information about different types of tickets and fares can be found on the website of the local transport company VGN. For the schedules of the regional trains between Nuremberg and Erlangen, see the VGN connection site or the train schedule site of Deutsche Bahn .
By plane via Munich airport or Frankfurt airport
If there are no good connections from your departure airport to Nuremberg airport, another option is to fly to Munich airport or Frankfurt airport and take a train to Erlangen from there. The train travel times are about 2 h and 30 minutes from Munich airport and about 2 to 3 hours from Frankfurt airport.
From Frankfurt airport there are direct trains to Erlangen as well as trains which require a change in Nuremberg. From Munich airport, one first takes a regional train (S-Bahn) to Munich Central Station (München Hbf), which takes 40 to 45 minutes and runs every 15 minutes. From Munich Central Station to Erlangen Central Station, there are direct trains (2 hours) and trains with a change in Nuremberg (approximately 1 hour and a half). For train schedules and connections, see the train schedule site of Deutsche Bahn.
Travel Directions Details
On this page you can find more details about the travel directions to the hotels and from the hotels to the conference venue. All information provided here including some addiontal maps can be also downloaded as a pdf from the following link travel details .
How to get to the hotels and to the venue of the school General remarks:
A single ride bus ticket within Erlangen can be bought with the bus driver and costs 1.60 EUR. A weekly ticket for rides within Erlangen, the 7-Tage-MobiCard is available from vending machines and from the ticket office at Hugenottenplatz (but not from the bus driver!) for 12.10 EUR. Some maps are given below. To find the map online follow this link to google maps.
Hotels near the city center:
| A.B. Hotel GmbH Harfenstr. 1c 91054 Erlangen Tel: +49 (0) 9131 – 92447 – 00 FAX: +49 (0) 9131 – 92447 – 20 info@abhotel.de http://www.abhotel.de |
| Altmann’s Stube Hotel & Restaurant GmbH Theaterplatz 9 D-91054 Erlangen Tel.: 09131-8 91 60 Fax: 09131- 89 16 66 E-Mail: info@altmanns-stube.de http://www.altmanns-stube.de/ |
| Hotel Rokokohaus Theaterplatz 13 D-91054 Erlangen Tel: 09131 /783-0 Fax: 09131 / 783-199 E-Mail: info@rokokohaus.de http://www.rokokohaus.de/ |
These hotels are in walking distance from the train station. Alternatively one can take bus 287, 289, or 293 from the opposite side of the street and go one or two stops, to Altstadtmarkt or Martin Luther Platz, and walk from there. To go to the venue of the school, take bus 287, direction Sebaldussiedlung, or 293, direction Bruck/ER Eichendorffschule, and get of at stop Technische Fakultät.
Gästehaus am Heuss Platz:
| Gästehaus am Heuss Platz Teresa Pirnak Karlsbader Strasse 3 91058 Erlangen info@gaestehaus-erlangen.de http://www.gaestehaus-erlangen.de |
To get from the train station to the guest house, take bus 287 in the direction of Sebaldussiedlung, and get of at stop Theodor-Heuss-Anlage. The venue of the school is within walking distance from the guest house, but you can also take bus 287 at Theodor-Heuss-Anlage in the direction of Sebaldussiedlung, and get of at Technische Fakultät.
B&B Hotel Erlangen:
| B&B Hotel Erlangen Wetterkreuz 33 91058 Erlangen – Tennenlohe Tel.: +49 (0)9131 / 68 71 -0 Fax: +49 (0)9131 / 68 71 -5 55 Email: erlangen@hotelbb.com http://www.hotelbb.de/de/erlangen |
To go from the train station to the hotel, take bus 295, direction Tennenlohe Frauenweiherstraße, and get of at Tennenlohe Süd. Alternatively take bus 30, direction Nürnberg Thon, and get of at Tennenlohe Wetterkreuz. To go from the hotel to the venue of the school, take either bus 295 at Tennenlohe Süd, direction Hugenottenplatz, or take bus 30, at Tennelohe Wetterkreuz, direction Hugenottenplatz and in either case get off at Erlangen Süd.
Acomodation
Accommodation
We have organised pre-arranged accommodation in hotels in Erlangen for those participants whose accommodation expenses will be covered by the school. If you have applied for this option prior the deadline your application has been approved. In this case you have already been booked in one of the hotels we reserved as pre-arranged accommodation. Those who applied for pre-arranged accommodation can find their names listed for pre-arranged hotel rooms by following this link pre-arranged accommodation .
Note that in case your application for pre-arranged accommodation has been approved your registration is obliging. In case you cancel your participation after 1st of September 2012, there can be a cancellation fee that you will need to pay for pre-arranged accommodation. Please note that in case we need to shift people due to cancellations into another hotel these hotel changes will be communicated to you via e-mail directly and the respective list on our homepage will be updated as well.
In case of urgent matters during the period from 27.08.2012 until 24.09.2012 please contact one of our local organizers Prof. Giesel by email.
Futher information and details about the hotels can be found below:
| A.B. Hotel GmbH Harfenstr. 1c 91054 Erlangen Tel: +49 (0) 9131 – 92447 – 00 FAX: +49 (0) 9131 – 92447 – 20 info@abhotel.de http://www.abhotel.de |
| Gästehaus am Heuss Platz Teresa Pirnak Karlsbader Strasse 3 91058 Erlangen info@gaestehaus-erlangen.de http://www.gaestehaus-erlangen.de |
| Altmann’s Stube Hotel & Restaurant GmbH Theaterplatz 9 D-91054 Erlangen Tel.: 09131-8 91 60 Fax: 09131- 89 16 66 E-Mail: info@altmanns-stube.de http://www.altmanns-stube.de/ |
| Hotel Rokokohaus Theaterplatz 13 D-91054 Erlangen Tel: 09131 /783-0 Fax: 09131 / 783-199 E-Mail: info@rokokohaus.de http://www.rokokohaus.de/ |
| B&B Hotel Erlangen Wetterkreuz 33 91058 Erlangen – Tennenlohe Tel.: +49 (0)9131 / 68 71 -0 Fax: +49 (0)9131 / 68 71 -5 55 Email: erlangen@hotelbb.com http://www.hotelbb.de/de/erlangen |
Financial Support
Financial Support
We provide traveling allowance and/or pre-arranged accommodation for all participants that have applied for travel allowance and/or pre-arranged accommodation prior the deadline. Please follow this link to get further information on your pre-arranged accommodations as well as the contact details of the respective hotels: accommodation
The amount of the traveling allowance depends on the location of your home institute. Please read off from the table below your maximal possible travel allowance:
| Germany: maximal EUR 150,00
Europe: maximal EUR 300,00 Non-Europe: maximal EUR 700,00 |
Please note that these amounts given above are the maximum grant in traveling allowance you will receive. However, to determine the sum each individual participant gets reimbursed for each participant will receive an envelope at the beginning of the school which contains a form that you need to fill out carefully (bank details etc..) and enclose your ORIGINAL travel receipts / vouchers / tickets etc..
Please review your expenses and submit your receipts upon completion of your trip to the institute address given on the envelope to enable us to pay your travel allowance. As a maximum you can be reimbursed for the travel expenses that have arisen to you. However, note that in case your travel expenses exceed the amounts shown in the table above your maximal reimbursement is the respective travel allowance stated above.
In urgent matters from 27.08.2012 until 24.09.2012 please contact one of our local organisers Prof. Giesel by email.
Conference Dinner
Conference Dinner
The conference dinner will take place on Wednesday 10th of October at 7:00pm at the restaurant Unicum.
| Unicum Carl-Thiersch-Str.9 91052 Erlangen Tel: 09131/503480 Fax: 09131/503481 E-Mail: info@unicum-erlangen.de www.unicum-erlangen.de |
Expenses for the dinner will be around EUR 15 excluding drinks. From the 24th of September 2012 until the 1st of October 2012 you can choose via doodle poll for your menu by following this link: menu selection
How to get there
You can walk, or take bus 293, direction Büchenbach, at bus stop Technische Fakultät, to the stop Doris Ruppenstein Straße, and walk from there. A map including the restaurant Unicum can be found under the following link .
There will be also a guided walk to the restaurant Unicum.
| Meeting point: Main entrance math department (Cauerstr. 11)
Time: 6:10pm Contact persons: Antonia Zipfel, Alexander Stottmeister |
Videos
Recorded Lectures
All lectures held at the First Erlangen Fall School on Quantum Geometry were recorded and are available in different viedo formats. The vidoes can be watched under the following link: Recorded lectures
Contact
Conference Secretary
Please use the word ‘QG-school’ in your subject for all inquiries that are send via email to our conference secretary.
| Martina Gercke-Viertel |
| Institute for Theoretical Physics III FAU Erlangen-Nürnberg Staudtstr. 7 91058 Erlangen Germany |
| Tel: 0049 9131 85 24872 |
| Fax: 0049 9131 85 27704 |
| martina.gercke-viertel@gravity.fau.de |
Local Organizers
| Kristina Giesel | Klaus Mecke |
| Institute for Theoretical Physics III FAU Erlangen-Nürnberg Staudtstr. 7 91058 Erlangen Germany |
Institute for Theoretical Physics I FAU Erlangen-Nürnberg Staudtstr. 7 91058 Erlangen Germany |
| Tel: 0049 9131 85 28470 | Tel: 0049 9131 85 28441 |
| Fax: 0049 9131 85 27704 | Fax: 0049 9132 85 28444 |
| kristina.giesel@gravity.fau.de | klaus.mecke@physik.uni-erlangen.de |
| Catherine Meusburger | Karl-Hermann Neeb |
| Department Mathematik FAU Erlangen-Nürnberg Cauerstraße 11 91058 Erlangen Germany |
Department Mathematik FAU Erlangen-Nürnberg Cauerstraße 11 91058 Erlangen Germany |
| Tel: 0049 9131 85 67034 | Tel: 0049 9131 85 67037 |
| Fax: 0049 9131 85 67036 | Fax: 0049 9132 85 67036 |
| catherine.meusburger@math.uni-erlangen.de | karl-hermann.neeb@math.uni-erlangen.de |
| Hanno Sahlmann | Thomas Thiemann |
| Institute for Theoretical Physics III FAU Erlangen-Nürnberg Staudtstr. 7 91058 Erlangen Germany |
Institute for Theoretical Physics III FAU Erlangen-Nürnberg Staudtstr. 7 91058 Erlangen Germany |
| Tel: 0049 9131 85 28465 | Tel: 0049 9131 85 28471 |
| Fax: 0049 9131 85 27704 | Fax: 0049 9132 85 27704 |
| hanno.sahlmann@gravity.fau.de | thomas.thiemann@gravity.fau.de |
| Stefan Waldmann | |
| Department Mathematik FAU Erlangen-Nürnberg Cauerstraße 11 91058 Erlangen Germany |
|
| Tel: 0049 9131 85 67060 | |
| Fax: 0049 9131 85 67036 | |
| stefan.waldmann@math.fau.de |