Olivia Caramello - Grothendieck toposes as `bridges’ between theories (part 1)

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:

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