### RTG Lecture “Asymptotic Invariants and Limits of Groups and Spaces” (Winter Semester 2019/20)

- Lecturer: Prof. Dr. Roman Sauer
- Classes: Lecture (0122150)
- Weekly hours: 0

Schedule | ||
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Lecture: | Tuesday 9:45-13:00 | |

Tuesday 9:45-13:00 | SR 2.58 | |

Tuesday 15:30-17:00 | ||

Tuesday 15:35-17:15 | SR 3.69 |

Lecturers | ||
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Lecturer | Prof. Dr. Roman Sauer | |

Office hours: by appointment | ||

Room 1.001 Kollegiengebäude Mathematik (20.30) | ||

Email: roman.sauer@kit.edu |

This semester’s RTG lecture will be split between courses by Enrico Leuzinger on “Gromov's nonsqueezing theorem” and by Tom Farrell on “Controlled topology applied to study aspherical manifolds”. *Please note:** Tom Farrell's course will start on the third RTG day (12.11.2019); for the first two RTG days (15.10.2019 and 29.10.2019), there will instead be an introductory course titled “What is Ergodic Theory?” by Yakov Karasik.*

**Filling arithmetic groups (Enrico Leuzinger)**

Abstract: Higher order filling functions generalize Dehn functions. They provide quasi-isometry invariants for highly connected groups (and spaces). Furthermore they are closely related to isoperimetric inequalities and thus measure e.g. the complexity of homotopies. I will discuss such functions in particular for S-arithmetic groups. The motivation comes from a (partially open) conjecture of Bux and Wortman asserting that S-arithmetic are undistorted up to the rank.

**Controlled topology applied to study aspherical manifolds (Tom Farrell)**

Abstract: tba.