# Olivia Caramello: Grothendieck toposes as unifying 'bridges' in Mathematics

**Time: **
Wed 2022-08-31 15.15 - 17.00

**Location: **
Albanova, FD5

**Participating: **
Olivia Caramello (University of Insubria and IHES)

#### Location

**FD5**, Albanova (directions available
here
).

#### Schedule

14:15–15:00 Pre-colloquium by Ivan di Liberti in FB55.

15:15–16:15 Colloquium lecture by Olivia Caramello.

16:15–17:00 SMC social get together with refreshments.

#### Abstract

I 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 points of view. I shall first present the general techniques underpinning this theory and then discuss a number of selected applications in different mathematical fields.