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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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.