VVZ API is not affiliated with ETH Zurich. Data might be outdated or incorrect. Please view the official ETHZ Vorlesungsverzeichnis for binding information.
Generalized Nonpositive Curvature
Last Updated: 2026-02-05 16:02:14
Abstract
CAT(0) spaces, Busemann convex spaces, metric spaces with convex geodesic bicombings; injective metric spaces and injective hulls; Gromov hyperbolicity, Helly graphs and Helly groups; fixed points, barycenter constructions, and applications.
Resources
Lecture Notes
Lecture notes will be provided.
Literature
- M. R. Bridson, A. Haefliger: Metric Spaces of Non-Positive Curvature, Springer 1999 - A. Papadopoulos: Metric Spaces, Convexity and Nonpositive Curvature, EMS 2005 - U. Lang: Injective hulls of certain discrete metric spaces and groups, J. Topol. Anal. 5 (2013), 297-331 - D. Descombes, U. Lang: Convex geodesic bicombings and hyperbolicity, Geom. Dedicata 177 (2015), 367-384 - J. Chalopin et al.: Weakly Modular Graphs and Nonpositive Curvature, Memoirs AMS 268 (2020), no. 1309 - J. Chalopin et al.: Helly groups, arXiv:2002.06895v2 [math.GR]
General Information
- Language
- English
- Levels
- MSC
Examination
- Type
- session examination
- Mode
- oral 20 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Generalized Nonpositive Curvature |
|
3 h weekly |
Offered In
-
-
Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 15 of the required 28 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
-
-