Non-positive curvature and applications
NPCW06
7 July 2025 to 18 July 2025
Workshop theme
The concept of curvature describes a fundamental spatial attribute and it has found a place at the core of science since its inception.
Among the tools used to uncover new aspects of non-positive curvature, one numbers cohomology, originally a tool from algebra and topology and now a research field in itself, with countless applications throughout mathematics; synthetic geometry (e.g. CAT(0) geometry) as used notably in modern group theory; coarse geometry, a fundamental tool of contemporary topology; proper actions and amenability - a topic at the interface of analysis and algebra - with surprising ramifications in many other areas.
This two weeks workshop is about aspects of non-positive curvature as they occur in various research areas of contemporary mathematics. Its purpose is to acquire new insight and find meaningful new directions to explore, by combining and comparing the aspects that non-positive curvature displays in various contexts. It is a double event, with a wide scope large scale conference, followed by a more focused workshop.
The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:
The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Non-positive curvature and applications, where work on this paper was undertaken. This work was supported by EPSRC grant EP/Z000580/1.
Organisers
- Goulnara Arzhantseva University of Vienna
- Cornelia Drutu Badea University of Oxford
- Alessandra Iozzi ETH Zürich
Supported By
