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Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Block seminar: Scalar curvature rigidity SemesterWiSe 2025 / 26 Lecturer Bernd Ammann Type of course (Veranstaltungsart) Seminar German title Block seminar: Starrheit von Skalarkrümmung Contents 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.
MV, MSem ECTS 4,5 |