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Topos, bridges and topology.
Inteview with Prof. Olivia Caramello President of the Grothendieck Institute.
“It is the theme of the topos … which is this ‘bed’, or this ‘deep river’, where geometry and algebra, topology and arithmetic, mathematical logic and the theory of categories, the world of the continuous and that of ‘discontinuous’ or ‘discrete’ structures come together… It is the most far-reaching thing I have conceived, to grasp with finesse, through a single language rich in geometric resonances, an ‘essence’ common to situations that are as far apart as possible, coming from one region or another of the vast universe of mathematical things.”
Alexander Grothendieck
In this podcast episode we explore this fascinating theme with 🎙️Prof. Olivia Caramello, President of the Istituto Grothendieck.