Prof. Bernd Ammann und Mitarbeiter, Zimmer 119
Clara Aldana, (Univ. Luxembourg; MPI Bonn; Universidad del Norte in Barranquilla, Colombia)
Compactness of conformal metrics under critical curvature bounds
Tuesday, 13.11.2018, 10.15 in M009
In this talk I will present recent joint work with Gilles Carron and Samuel Tapie (Université de Nantes). I will show how, using techniques from harmonic analysis, we can prove compactness of conformal metrics with critical integrability conditions on the scalar curvature. This relates to two problems in differential geometry: Pinching of the curvature and finding geometrical conditions under which a sequence of conformal metrics admits a convergent subsequence. The main tool is the use of A∞-weights and strong A∞-weights. I will introduce all the necessary definitions and will give a motivation of the problem.
Existences of Dirac harmonic maps
Tuesday, 4.12.2018, 10.15 in M009
Recently Prof. B. Ammann and N. Ginoux published their results to characterize some explicit construction of Dirac-harmonic maps. In this talk I would like to give a survey of the known results on the existence of Dirac-harmonic maps: examples, rigidity, and implicit existence and also non-existence.
Bernd Ammann, 14.11.2018
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