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What is ... a topos?

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If you have a question about this talk, please contact Guilherme Lima de Carvalho e Silva.

The words “topos theory” seem to strike unnecessary fear in the hearts of mathematicians. I shall try to defuse some of this apprehension by explaining what a topos is in simple terms and why they are interesting. We will see three aspects of the elephant in this talk: toposes as mathematical universes, toposes as generalised spaces, and toposes as geometric theories.

This talk should be considered as a trailer for the Part III Topos Theory reading course happening this term.

This talk is part of the Junior Category Theory Seminar series.

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