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
|Tuesday 9:45-13:00||SR 2.58|
|Tuesday 15:35-17:15||SR 3.69|
|Lecturer||Prof. Dr. Roman Sauer|
|Office hours: by appointment|
|Room 1.001 Kollegiengebäude Mathematik (20.30)|
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)