# Second Erlangen Fall School on Quantum Geometry (2013)

## Basic Information

## Second Erlangen Fall School on Quantum Geometry

### When?

Monday, October 07 to Friday, October 11 2013

### Description

In 2011, 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:

- Causal Dynamical Triangulations
- Conformal Quantum Field Theory
- Representation Theory of Lie Groups
- Hopf Algebras, Tensor Categories and Topological Field Theories

### Lecturers

- Renate Loll (Nijmegen U.)
- Bent Ørsted (Aarhus U.)
- Karl-Henning Rehren (Göttingen U.)
- Christoph Schweigert (Hamburg U.)

## Program

## Program of the School

All lectures will be held in lecture hall H in the Physics Department.

Conference packages can be obtained at the registration desk on Monday from 9:00-10:30.

Time | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|

09:00-10:30 | Registration | Christoph Schweigert | Christoph Schweigert | Renate Loll | Karl-Henning Rehren |

10:30-11:00 | Coffee break | Coffee break | Coffee break | Coffee break | Coffee break |

11:00-12:30 | Bent Ørsted | Christoph Schweigert | Christoph Schweigert | Karl-Henning Rehren | Renate Loll |

12:30-14:00 | Lunch break | Lunch break | Lunch break | Lunch break | Lunch break |

14:00-15:30 | Bent Ørsted | Karl-Henning Rehren | Bent Ørsted | Bent Ørsted | |

15:30-16:00 | Coffee break | Coffee break | Coffee break | Coffee break | |

16:00-17:30 | Bent Ørsted until 17:00 |
Renate Loll | City tour Nürnberg 17:00 |
Renate Loll | Karl-Henning Rehren |

18:00 | Snacks & beer Foyer conference venue |
||||

19:00 | Conference dinner Barfüßer Nürnberg |

## Lectures

## Lectures at the Second Erlangen Fall School on Quantum Geometry

### Recorded Lectures

The lectures held by Prof. Renate Loll, Prof. Bent Ørsted and Prof. Karl-Henning Rehren at the Second 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

## Recommended References

### Causal Dynamical Triangulations

### Reviews

Nonperturbative Quantum Gravity

J. Ambjørn, Görlich, J. Jurkiewicz, R. Loll

Physics Reports 519 (2012) 127-212 [arXiv: 1203.3591, hep-th].

### Lecture notes

CDT – an Entropic Theory of Quantum Gravity

J. Ambjørn, A. Görlich, J. Jurkiewicz, R. Loll

[arXiv: 1007.2560, hep-th].

Quantum Gravity as Sum over Spacetimes

J. Ambjørn, J. Jurkiewicz, R. Loll

Lecture Notes in Physics 807 (2010) 59-124 [arXiv: 0906.3947, gr-qc].

### Lighter/Introductory reading

Quantum Gravity, from the Entropy of Geometries

J. Ambjørn, J. Jurkiewicz, R. Loll

Europhysics News 42 (2011) 25-28.

The Self-Organizing Quantum Universe

J. Ambjørn, J. Jurkiewicz, R. Loll

Scientific American, Jul 2008, pp. 42-49.

### Conformal Quantum Field Theory

### Text books

Conformal field theory

P. diFrancesco, P. Mathieu, D. Senechal.

Loop groups

A. Pressley, G. Segal.

A Mathematical Introduction to Conformal Field Theory

M. Schottenloher

Springer Lecture Notes in Physics LNP 759 (2008).

Twodimensional conformal quantum field theory

P. Furlan, G.M. Sotkov, I. Todorov

Rivista del Nuovo Cimento 12 (1989) 1-203.

### Lecture notes

Lecture Notes on Conformal QFT, Erlangen

Karl-Henning Rehren

October 2013.

Konforme Quantenfeldtheorie (in German)

K.-H. Rehren.

### Representation Theory of Lie Groups

### Text books

A course in abstract harmonic analysis

G. B. Folland

CRC Press (1995).

Geometry of Quantum Theory, vol. II

S. Varadarajan

Van Nostrand (1970).

Lie groups and Quantum Mechanics

D. J. Simms

Lecture notes in Mathematics, 52 (1968).

### Lecture notes

Representations of Lie groups: Four lectures for physicists

Bent Ørsted

October 2013.

### Hopf Algebras, Tensor Categories and Topological Field Theories

### Text books

Quantum Groups

C. Kassel

Graduate Texts in Mathematics 155, Springer, Berlin, 1995.

### Reviews

Quantum groups and knot invariants

C. Kassel, M. Rosso, Vl. Turaev

Panoramas et Syntheses, Soc. Math. de France, Paris, 1993.

### Lecture notes

Lectures on Hopf algebras

Hans-Jürgen Schneider

Notes by Sonia Natale

Trabajos de Matematica 31/95, FaMAF, 1995.

Hopf algebras, quantum groups and topological field theory

Christoph Schweigert.

## Participants

## List of Participants

Name | Institute |
---|---|

Aissasnou, Abdeldjali | University of Es-Senia, Oran-Algeria |

Alesci, Emanuele | University of Warsaw |

Anghel, Cristina Ana-Maria | University of Bucharest |

Aravanis, Christos | University of Athens |

Assanioussi, Mehdi | University of Warsaw |

Ballesteros, Angel | University of Burgos |

Bärenz, Manuel | University of Nottingham |

Bischoff, Marcel | University of Göttingen |

Böhm, Benedikt | Friedrich Alexander University Erlangen-Nürnberg |

Bonga, Beatrice | Penn State University |

Boos, Jens | University of Cologne |

Brahma, Suddhasattwa | The Pennsylvania State University |

Chaharsough Shirazi, Atousa | Florida Atlantic University |

Chakraborty, Chandrachur | Saha Institute of Nuclear Physics |

Chavez Molina, Oscar | Institute of Mathematics UNAM, campus Cuernavaca |

Cirilo-Lombardo, Diego Julio | Bogoliubov Laboratory of Theoretical Physics (JINR) |

Dehghanfar, Arezu | University of Cologne |

Drobinski, Patryk | Faculty of Physics, University of Warsaw |

Fani, Somayeh | Alzahra University |

Gahramanov, Ilmar | Humbold University Berlin |

Giasemidis, Georgios | Oxford University |

Giorgetti, Luca | Göttingen Universität |

Glaser, Lisa | Niels Bohr Institute |

Haggard, Hal | CPT, Marseille |

Han, Yu | Beijing Normal University |

Hanusch , Maximilian | Universität Paderborn |

Hao, Cheng | Stony Brook University |

Hogan, Matthew | Florida Atlantic University |

Iarygina, Oksana | Taras Shevchenko National University of Kyiv |

Inglima, Sergio | Heriot-Watt |

Ipsen, Asger | Niels Bohr Institute, University of Copenhagen |

Kanning, Nils | HU Berlin |

Kidambi, Abhiram | University of Nottingham |

Kittel, Tim | Humboldt University Berlin |

Krämer, Manuel | University of Cologne |

Krüger, Benedikt | FAU Erlangen-Nürnberg |

Lanery, Suzanne | Institute for Quantum Gravity FAU |

Lang, Thorsten | Institute for Quantum Gravity FAU |

Laska, Alexander | Friedrich-Alexander University |

Liegener, Klaus | Institute for Quantum Gravity FAU |

Linke, Phillip | Universität Bielefeld |

Majhi, Abhishek | Saha Institute of Nuclear Physics |

Maleknejad, Azadeh | Department of Mathematics FAU |

Meir, Ehud | Copenhagen University |

Minassian, Eric | Chapman University |

Montiel Montoya, Flavio Carlos | Ludwig-Maximilians-Universität |

Oelmann, Almut | Institute for Quantum Gravity FAU |

Otiman, Alexandra – Iulia | University of Bucharest |

Priel, Jan | Hamburg University |

Rastgoo, Saeed | Centro de Ciencias Matematicas, UNAM |

Thorsten Reichert | LMU Würzburg |

Rottmaier, Michael | Universität Freiburg |

Sanchez, Yafet | University of Southampton |

Sengupta, Sandipan | Raman Research Institute, Bangalore |

Sipos, Andrei | University of Bucharest |

Spies, Alexander | FAU Erlangen-Nürnberg |

Starostka, Maciej | Universität Gdansk |

Stiller, Michael | University Hamburg |

Stottmeister, Alexander | Institute for Quantum Gravity FAU |

Straser, Straser | Universität Freiburg |

Szabó, Áron | Universität Hamburg |

Szczachor, Michal | University of Wroclaw |

Taslimi Tehrani, Mojtaba | Universität Hamburg |

Tavakoli, Yaser | Universidade da Beira Interior |

Tavares, Sara | University of Nottingham |

Tedesco, Gennaro | Georg August Universitaet Goettingen |

Thürigen, Johannes | Max Planck Institute for Gravitational Physics |

Tomlin, Casey | Penn State/AEI Golm |

Tursunov, Arman | Silisian University |

Wagemann, Friedrich | Universite de Nantes |

Wagner, Stefan | University of Copenhagen |

Wiedenmann, Stefan | FAU Erlangen-Nürnberg |

Wingham, Francis | University of Nottingham |

Winnekens, David | Institute for Quantum Gravity FAU |

Winterroth, Ekkehart | University of Torino |

Wise, Derek | Institute for Quantum Gravity FAU |

Wojnar, Aneta | University of Wroclaw |

Zamparas, Christoforos | University of Athens |

Zilker, Thomas | Institute for Quantum Gravity FAU |

Zipfel, Antonia | Institute for Quantum Gravity FAU |

## Conference Venue

## Conference Venue

The school takes place at the **Department of Physics, University of Erlangen-Nünberg, Staudstr. 7, 91058 Erlangen**. The Physics 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”. The bus takes about 20 minutes. Get off at the bus stop “Sebaldussiedlung”

The bus stop is just in front of the Biology and Physics Departments in the Erwin-Rommel-Straße . From here you need only about 5 minutes to reach the conference venue.

## Travel Directions to Erlangen

**By train**

The school venue (Department of Physics, Staudstr. 7, 91058 Erlangen) is located about 3,5 km away from Erlangen Central train station (Erlangen Hauptbahnhof). The train station is served by high speed trains (ICE,IC) from all major German cities. Train schedules and connections can be found on the train schedule site of Deutsche Bahn, which also allows one to make reservations and book tickets.

**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 2.00 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 15.20 EUR.

Some maps are given below. To find the map online follow this link to google maps.

### Hotels near Theatherplatz:

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/ |

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 Sebaldussiedlung.

### 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 Sebaldussiedlung.

### Hotels near the train station:

Gasthof Schwarzer Bär Innere Brucker Str. 19 91054 Erlangen +49 (0)9131 / 22872 info@schwarzerbaer.de http://www.schwarzerbaer.de |

Hotel Strauss Bär Ruückertstr. 10 91054 Erlangen +49 (0)9131 / 80750 info@gasthof-strauss.de http://www.gasthof-strauss.de/ |

Both hotels are in walking distance from the Erlangen train station.

To go to the venue of the school, take bus 287, direction Sebaldussiedlung, or 293, direction Bruck/ER Eichendorffschule, and get of at stop Sebaldussiedlung. Both buses stop at the Erlangen train station (the stop at the same side of the road as the train station). Alternative stops are Arcaden (for 287) and Hugenottenplatz (for 293).

## Accomodation

## 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 and your application has been approved you have already been booked in one of the hotels we reserved as pre-arranged accommodation.

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 Strauss Rückertstr. 10 D-91054 Erlangen Tel: 09131 /80750 Fax: 09131 / 807541 E-Mail: info@gasthof-strauss.de http://www.gasthof-strauss.de/ |

Gasthof Schwarzer Bär Innere Brucker Str. 19 91054 Erlangen Tel.: +49 (0)9131 / 22872 Fax: +49 (0)9131 / 206494 Email: info@schwarzerbaer.de http://www.schwarzerbaer.de |

## Financial Support

## Financial Support

Financial support for a limited number of participants will be available. An application for financial support for accommodation and/or traveling allowance can be done via the registration form by choosing the corresponding options for financial support. You will be informed by email after the registration deadline whether your application for financial support was approved.

## Conference Dinner

## Conference Dinner

The conference dinner will take place on Wednesday 9th of October at 7pm in the restaurant Barfüßer in Nürnberg.

Barfüßer Hallplatz 2 90402 Nürnberg Fax: +49 (0)911/204242 E-Mail: info@barfuesser-nuernberg.de www.barfuesser-nuernberg.de |

The restaurant is in walking distance to the central train station of Nürnberg. Regional trains run from Erlangen train station to Nürnberg central (“Hauptbahnhof Nürnberg”) roughly every twenty minutes, typically from platform 4. Tickets (4 EUR for one way) can be obtained from vending machines in the station.

The menu of the restaurant is available online and can be downloaded from the following link: menu conference dinner

Please not, that the conference dinner is not covered by the Second Erlangen Fall School on Quantum Geometry, therefore each participant will have to pay individually in the restaurant.

### City Tour of Nürnberg

On Wednesday afternoon a city tour in Nürnberg is organized. The city tour of Nürnberg starts at Klarissenplatz, near the entrance to the Neues Museum at 5pm and will end at 7pm in front of the restaurant Barfüßer where the conference dinner will take place.

## Contact

## Conference Secretary

Please use the word ‘QG-school’ in your subject for all inquiries that are sent via email to our conference secretary.

Johanna Kulzer |

Department of Mathematics FAU Erlangen-Nürnberg Cauerstr. 11 91058 Erlangen Germany |

Tel: +49-9131-85-67035 |

Fax: +49-9131-85 67036 |

kulzer@math.fau.de |

## Local Organisers

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: +49-9131-85-28470 |
Tel: +49-9131-85-28441 |

Fax: +49-9131-85-27704 |
Fax: +49-9131-85-28444 |

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: +49-9131-85-67034 |
Tel: +49-9131-85-67037 |

Fax: +49-9131-85-67036 |
Fax: +49-9131-85-67036 |

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: +49-9131-85-28465 |
Tel: +49-9131-85-28471 |

Fax: +49-9131-85-27704 |
Fax: +49-9131-85-27704 |

hanno.sahlmann@gravity.fau.de | thomas.thiemann@gravity.fau.de |