# Some Aspects of Complexity and Krlov Complexity

- Institution: CERN
- Department: Theory Colloquia
- Speaker: Eliezer Rabinovici
- Year: 2025
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3023015)
- Licence: [CERN](http://copyright.web.cern.ch)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

Complexity is a subject of research in several branches of science, from quantum computing, through condensed matter physics to quantum gravity. A review of the concept of Complexity as has emerged in studying long time properties of systems including blackholes will be presented. Some emphasis will be made on describing features of a particular form of Complexity, the Krylov Complexity. This includes its features when interpolating among various types of systems: free, strongly integrable and chaotic ones. Finally I will present a case where we have shown that the value of the Krylov Complexity, a quantum information concept, is equal to the value of a geodesic in a certain background, a geometric concept. .

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## Lectures

1. [Some Aspects of Complexity and Krlov Complexity](https://invisiblenetwork.ai/learn/cern/3023015/8edef2f7413c), 1 h 9 min (CERN's player)