Grothendieck toposes as unifying 'bridges' in Mathematics

Apr 29, 2013, 4:30 pm5:30 pm
201 Marx
Event Description


I will present a novel view of Grothendieck toposes as unifying spaces in
Mathematics being able to effectively serve as 'bridges' for transferring
concepts and results across distinct mathematical theories. This approach,
first emerged in the context of my Ph.D. research, has already generated
several applications into different mathematical fields, including Topology,
Algebra, Geometry, Functional Analysis, Model Theory and Proof Theory, and
the potential of this theory has just started to be explored. In the talk, I
will explain the fundamental principles and methods that characterize my
view of toposes as unifying 'bridges', and illustrate the usefulness of
these techniques by discussing a few selected applications.