The unification of Mathematics via Topos Theory
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If you have a question about this talk, please contact Nathan Bowler.
I will propose a new view of Grothendieck toposes as unifying spaces in
Mathematics being able to serve as ‘bridges’ for transferring information
between distinct mathematical theories. This approach, first introduced in
my Ph.D. dissertation, has already generated ramifications into different
mathematical fields and points towards a realization of Topos Theory as a
unifying theory of Mathematics.
In the lecture, I will explain the fundamental principles that characterize
my view of toposes as unifying spaces, and demonstrate the technical
usefulness of these methodologies by providing applications in several
distinct areas.
This talk is part of the Category Theory Seminar series.
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