### News

We still have several open slots. If you are interested in giving a talk, please come to the organizational meeting on April 19 (4pm, SR Statistik).

** Meeting time and place:** Wednesday 16h s.t.,
MATHEMATIKON SR Statistik 2/104

First talk on April 26.

### Instructors

Dr. Richard Eager, eager@mathi.uni-heidelberg.de

Dr. Ingmar Saberi, saberi@mathi.uni-heidelberg.de

Prof. J. Walcher, walcher@uni-heidelberg.de

### Description

A quantum field theory is called *topological* if the correlation functions of its local
fields are independent of any background metric, and thereby only sensitive to the
underlying topology. TQFTs can be approached axiomatically or given concrete path-integral
representations, and have found numerous applications in pure mathematics for the
flexible manipulation of various topological invariants, exempli gratia in knot theory.

In the seminar this summer, we will explore some of the applications that topological quantum
field theories have found in describing nature, especially in low-dimensional condensed
matter physics and in cosmology. Unifying themes will be quasi-particle excitations which obey
fractional or non-abelian braid statistics, and the interplay between bulk and edge degrees
of freedom through anomalies.

Participants of the seminar will acquire the physical and mathematical background needed to understand
modern applications of TQFT, which constitute several exciting and actively developing fields of current research.

** Prerequisites:** The seminar is aimed at Masters students and advanced
Bachelor students of mathematics and physics, and is accessible with a modest amount
of background in quantum field theory and basic notions of algebraic topology and
representation theory.

### Schedule of Talks

Schedule still subject to change.

Date | Speaker | TitleAbstractNotes |
---|---|---|

April 26 | Fabio | 2D TQFT and Frobenius manifolds |

May 3 | Alejandro | Variation of Morse theory |

May 10 | Hyukjin | Cobordism hypothesis |

May 17 | Georg | Berry Phase |

May 24 | Tobias | Integer and Fractional Quantum Hall effect |

May 31 | Roman | Laughlin wave-function |

June 7 | Menelaos | Anyons |

June 28 | Ade | Intro to Chern-Simons |

July 5 | Robert | Knot invariants |

July 12 | Lukas | Quantum computing |