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Connections in the setting of algebraic geometry

My level is at the beginning of a second year master. I'm interested in the project of translating some features of differential geometry to algebraic geometry. I'd like to know if there is an equivalent of the notion of connection in algebraic geometry. I've heard about Grothendieck connections, but I did not know if it is the only possible way to abstract the notion of connecton, nor I found any accessible material on the web. Can someone help me?