## 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.