Asymptotic invariants of manifolds and groups
Lecturers and Teaching Assistants
Prof. Tsachik Gelander
Course Schedule and Location
Thursday, 10:15 - 13:00, Goldsmith, Rm 208
Field of Study, Course Type and Credit Points
Mathematics and Computer Science: Lecture; Elective; Regular; 3.00 points
Will be taught via Zoom starting April 19th.
Attendance and participation
Required in at least 80% of the lectures
No final exam or assignment
Estimated Weekly Independent Workload (in hours)
Gromov's bound on Betti numbers of manifolds
The homotopy type of locally symmetric spaces
Invariant Random Subgroups and Benjamini Schramm topology
Manifolds of Large volume
The aim is to study the theory of asymptotic invariants of manifolds of non-positive curvature and their fundamental groups. We will learn many tools that are of independent interest.
Manifolds of Nonpositive Curvature, by Ballmann, Gromov and Schroeder.
Homotopy type and volume of locally symmetric manifolds, by Gelander.