Olivia Caramello - Grothendieck toposes as `bridges’ between theories (part 1)
Channel: Università degli Studi dell'Insubria
Date: 2018-09-20

Olivia Caramello - Università degli Studi dell'Insubria - Como

We will explain the sense in which Grothendieck toposes can act as unifying `bridges' for relating different mathematical theories to each other and studying them from a multiplicity of different points of view. We will rst present the general view of toposes as `bridges' with the resulting techniques, and then discuss a number of selected applications of this methodology in different mathematical fields.

References:
[1] O. Caramello Grothendieck toposes as unifying `bridges' in Mathematics, Mèmoire d'habilitation à diriger des recherches, Universitè de Paris 7, 2016, available at www.oliviacaramello.com.

[2] O. Caramello, Theories, Sites, Toposes: Relating and studying mathematical theories through topos-theoretic `bridges', Oxford University Press, 2017.

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