Description
This lecture series introduces structures in higher differential geometry with a focus on applications in mathematical and high-energy physics. The main goal is to define higher principal bundles with an interesting notion of connection and to discuss several applications of these structures.
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Christian Saemann (Heriot-Watt University Edinburgh)
We begin by motivating the need for a higher notion of parallel transport, drawing on both physical and mathematical perspectives. This leads naturally to the concept of categorification, which we briefly review. After giving a concise overview of various descriptions of higher (Lie) groups, illustrated with examples, we conclude the first lecture with the definition of higher principal...
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