# School

The academic program consists of a 3-day graduate school and a 2-day conference.

### Graduate School (3 to 5/Jul)

The idea behind the GQT school is that participants will get a basic understanding of some central topics in GQT-research, including many important themes which may lie outside one’s own research specialization. Hence, we strongly encourage Ph.D. students to participate in all three days as a way to broaden their mathematical formation and increase awareness regarding the research carried out within the cluster.

Another important side to the event is that it will provide the opportunity for graduate students within the GQT to get to know and socialize with each other as well as have some academic interaction.

The school will consist of three days of lectures and exercise sessions; the topics and speakers are as follows:

- 3/Jul — Ana Ros Camacho: Topological field theories
- 4/Jul — Roland van der Veen: Knot theory
- 5/Jul — TBA: TBA

Besides the three minicourses, there will be one or two Ph.D. talks (given by Ph.D. students to Ph.D. students) on Tuesday and Wednesday morning before the beginning of the minicourse.

**Schedule**

During the school days the lectures and exercise classes will be arranged roughly as follows:

Mon | Tue | Wed | |
---|---|---|---|

9:00 – 10:00 | Arrival | Speaker 1 | Speaker 2 |

10:00 – 11:00 | Lecture | Lecture | Lecture |

11:00 – 12:00 | Lecture | Lecture | Lecture |

12:00 – 12:30 | Discussion | Discussion | Discussion |

12:30 – 14:00 | Lunch | Lunch | Lunch |

14:00 – 15:00 | Lecture | Lecture | Lecture |

15:00 – 16:00 | Lecture | Lecture | Lecture |

16:00 – 17:00 | Exercises | Exercises | Exercises |

17:00 – 18:00 | Exercises | Exercises | Exercises |

18:00 – 19:00 | Solution of exercises | Solution of exercises | Solution of exercises |

19:00 | Dinner | Dinner | Dinner |

**Course description and prerequisites**

Topological field theories — Ros Camacho

*Course description:* We will present several algebraic and categorical notions concerning the functorial definition of topological field theories and then explore several examples in lower dimensions (like e.g. the two dimensional case and its relation with Frobenius algebras, Turaev-Viro and Reshetikhin-Turaev).

*Pre-requisites:* Familiarity with the basics of category theory should be enough.

*Reading material:*

– J. Kock, “Frobenius algebras and 2D topological quantum field theories”

– M. Atiyah, “Topological quantum field theories”, Publ. Math. IHE ́S68 (1988) 175-186

– R. Dijkgraaf and E. Witten, “Topological gauge theory and group cohomology”, Comm. Math. Phys. 129 (1990)

– J. Lurie, “On the classification of topological field theories”, Current Developments in Mathematics, Volume 2008 (2009), 129-280.

Knot theory — Van der Veen

Course description: TBA

Pre-requisites: TBA.

Reading material: TBA.

TBA — TBA

Course description: TBA

Pre-requisites: TBA

Reading material: TBA

Ph.D. talks

TBA