A local system is a locally constant sheaf of modules, for example the integral cohomology of fibres of a smooth proper family of compact complex manifolds. Parallel continuation around loops gives its monodromy representation.
The term "local system" can refer to different concepts depending on the context in which it is used. Here are a few common interpretations: 1. **Local Area Network (LAN)**: In computing, a local system often refers to devices and computers connected within a limited geographical area, such as a home, office, or school. This can include computers, printers, and other devices that communicate with each other using a local network, often without accessing the broader internet.
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