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Thursday 26 February 2015, 14:00-15:00
The semi-direct product of categories
- đ¤ Speaker: Guilherme Lima de Carvalho e Silva (University of Cambridge)
- đ Date & Time: Thursday 26 February 2015, 14:00 - 15:00
- đ Venue: CMS, MR13
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Sean Moss
Abstract
In topos theory we sometimes encounter the procedure of “externalising” an internal site. I will go through the first step of this process, which involves establishing an equivalence between internal and “external” presheaves. The central notion in this procedure is that of the semi-direct product of categories. I will define internal categories (briefly) and internal presheaves, and then proceed to show how the definition of semi-direct product has to be what it is in order to establish the aforementioned equivalence.
Series This talk is part of the Junior Category Theory Seminar series.
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