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 ErlangenNuernberg 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 8:009:00 on Monday.
Time  Monday  Tuesday  Wednesday  Thursday  Friday 

8:55 – 09:00  Welcome  
09:0010:30  Tudor Ratiu  Jerzy Lewandowski  Pavol Severa  Klaus Fredenhagen  Klaus Fredenhagen 
10:3011:00  Coffee break  Coffee break  Coffee break  Coffee break  Coffee break 
11:0012:30  Jerzy Lewandowski  Tudor Ratiu  Jerzy Lewandowski  Tudor Ratiu  Anton Alekseev 
12:3014:00  Lunch break  Lunch break  Lunch break  Lunch break  Lunch break 
14:0015:30  Tudor Ratiu  Klaus Fredenhagen  Pavol Severa  Jerzy Lewandowski  Tudor Ratiu 
15:3016:00  Coffee break  Coffee break  Coffee break  Coffee break  Coffee break 
16:0017:30  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
Groupvalued moment maps
Alekseev, A., A. Malkin, and E. Meinrenken,
Lie group valued moment maps,
J. Differential Geom. 48:3 (1998), 445495
Meinrenken, E.,
Lectures on pure spinors and moment maps,
in Poisson geometry in mathematics and physics, 199222, Contemp. Math., 450, Amer. Math. Soc., Providence, RI, 2008
Anton Alekseev, Eckhard Meinrenken, Chris Woodward,
DuistermaatHeckman distributions for group valued moment maps,
Geom. Funct. Anal. 12 (2002), 131
Infinite dimensional Poisson Geometry
Beltita, D., T. S. Ratiu, and B. Tumpach,
The restricted Grassmannian, Banach LiePoisson spaces, and coadjoint orbits,
J. Funct. Anal. 247:1 (2007), 138168
GayBalmaz, F., and T. Ratiu,
Affine LiePoisson reduction, YangMills magnetohydrodynamics, and superfluids,
J. Phys. A 41 (2008), no. 34, 344007, 24 pp
Odzijewicz, A., and T. Ratiu,
Induced and coinduced Banach LiePoisson spaces and integrability,
J. Funct. Anal. 255:5 (2008), 12251272
Odzijewicz, A., and T. Ratiu,
Induction for weak symplectic Banach manifolds,
J. Geom. Phys. 58:6 (2008), 701719
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 [mathph].
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 [grqc/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 [grqc]].
Infinite dimensional Poisson geometry
Beltita, D., T. S. Ratiu, and B. Tumpach,
The restricted Grassmannian, Banach LiePoisson spaces, and coadjoint orbits,
J. Funct. Anal. 247:1 (2007), 138168
GayBalmaz, F., and T. Ratiu,
Affine LiePoisson reduction, YangMills magnetohydrodynamics, and superfluids,
J. Phys. A 41 (2008), no. 34, 344007, 24 pp
Odzijewicz, A., and T. Ratiu,
Induced and coinduced Banach LiePoisson spaces and integrability,
J. Funct. Anal. 255:5 (2008), 12251272
Odzijewicz, A., and T. Ratiu,
Induction for weak symplectic Banach manifolds,
J. Geom. Phys. 58:6 (2008), 701719
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 AixMarseille 
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 
CiriloLombardo, Diego Julio  IIP(Brazil) and JINRDubna 
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 ErlangenNürnberg, Institut für Theoretische Physik 1 
Labus, Peter  LMU Munich 
Lang, Benjamin  University of York 
Lang, Thorsten  FAU Erlangen 
Laska, Alexander  FriedrichAlexanderUniversität ErlangenNürnberg 
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 ErlangenNürnberg 
Pieracks, Martin  RuhrUniversität 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  UniBochum (Institute of theoretical particle physics) 
Ruiz, HansChristian  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 ErlangenNürnberg 
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 ErlangenNünberg, 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 (SBahn) 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 7TageMobiCard 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 D91054 Erlangen Tel.: 091318 91 60 Fax: 09131 89 16 66 EMail: info@altmannsstube.de http://www.altmannsstube.de/ 
Hotel Rokokohaus Theaterplatz 13 D91054 Erlangen Tel: 09131 /7830 Fax: 09131 / 783199 EMail: 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@gaestehauserlangen.de http://www.gaestehauserlangen.de 
To get from the train station to the guest house, take bus 287 in the direction of Sebaldussiedlung, and get of at stop TheodorHeussAnlage. The venue of the school is within walking distance from the guest house, but you can also take bus 287 at TheodorHeussAnlage 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 prearranged 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 prearranged accommodation. Those who applied for prearranged accommodation can find their names listed for prearranged hotel rooms by following this link prearranged accommodation .
Note that in case your application for prearranged 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 prearranged 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 email 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@gaestehauserlangen.de http://www.gaestehauserlangen.de 
Altmann’s Stube Hotel & Restaurant GmbH Theaterplatz 9 D91054 Erlangen Tel.: 091318 91 60 Fax: 09131 89 16 66 EMail: info@altmannsstube.de http://www.altmannsstube.de/ 
Hotel Rokokohaus Theaterplatz 13 D91054 Erlangen Tel: 09131 /7830 Fax: 09131 / 783199 EMail: 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 prearranged accommodation for all participants that have applied for travel allowance and/or prearranged accommodation prior the deadline. Please follow this link to get further information on your prearranged 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 NonEurope: 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 CarlThierschStr.9 91052 Erlangen Tel: 09131/503480 Fax: 09131/503481 EMail: info@unicumerlangen.de www.unicumerlangen.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 ‘QGschool’ in your subject for all inquiries that are send via email to our conference secretary.
Martina GerckeViertel 
Institute for Theoretical Physics III FAU ErlangenNürnberg Staudtstr. 7 91058 Erlangen Germany 
Tel: 0049 9131 85 24872 
Fax: 0049 9131 85 27704 
martina.gerckeviertel@gravity.fau.de 
Local Organizers
Kristina Giesel  Klaus Mecke 
Institute for Theoretical Physics III FAU ErlangenNürnberg Staudtstr. 7 91058 Erlangen Germany 
Institute for Theoretical Physics I FAU ErlangenNürnberg 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.unierlangen.de 
Catherine Meusburger  KarlHermann Neeb 
Department Mathematik FAU ErlangenNürnberg Cauerstraße 11 91058 Erlangen Germany 
Department Mathematik FAU ErlangenNürnberg 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.unierlangen.de  karlhermann.neeb@math.unierlangen.de 
Hanno Sahlmann  Thomas Thiemann 
Institute for Theoretical Physics III FAU ErlangenNürnberg Staudtstr. 7 91058 Erlangen Germany 
Institute for Theoretical Physics III FAU ErlangenNürnberg 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 ErlangenNürnberg Cauerstraße 11 91058 Erlangen Germany 

Tel: 0049 9131 85 67060  
Fax: 0049 9131 85 67036  
stefan.waldmann@math.fau.de 