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Global Analysis and the theory of partial differential equations are
classical fields of mathematics that have a wide range of applications
within mathematics, for instance in number theory, group theory,
geometry and topology, but also have important applications outside of
mathematics to physics, engineering and chemistry.
The Global Analysis and PDEs research group is rooted in pure
mathematics and focuses on geometric and topological aspects of
analysis. The interests of the group include spectral and scattering
theory on manifolds, regularity and existence of global solutions to
pseudo-differential equations and
boundary value problems, topological questions related to
generalizations of the Atiyah-Singer index theorem, applications of
theory of PDE to approximation theory, as well as other topics.
Seminars relevant to the group are held in the analysis seminar series as well as in the mathematical physics seminar series.
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