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Among the classical curvatures, scalar curvature is the weakest one. As a consequence, it remains thus a challenging question whether a given manifold (possibly with boundary, with corners or singularities) carries a metric of positive or non-negative scalar curvature, assuming suitable behavior at the boundary or close to the singularities.
In the past, the Atiyah-Singer index theorem provided a tremendous source for statements related to positive/nonnegative scalar curvature.
Amazingly, the field
got new impetus in the recent years, by focussing on new types of questions, and new applications of index theoretic methods, driven in particular
by Gromov's article
"Four Lectures on scalar curvature". Other progress in the field is related to recent advances in general relativity.
In this seminar we focus on some chosen aspects in the field that are
well accessible to young mathematicians, and that are thus well-suited for our block seminar.
For more information, see the .
The seminar mainly addresses to the working groups of the organizers, but provided sufficiently many places are available, it is also open to young mathematicians from other universities.
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