Oberwolfach Reports

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Volume 10, Issue 4, 2013, pp. 3115–3145
DOI: 10.4171/OWR/2013/53

Published online: 2014-09-03

Mini-Workshop: Quaternion Kähler Structures in Riemannian and Algebraic Geometry

Anna Fino[1], Uwe Semmelmann[2], Jaroslaw A. Wisniewski[3] and Frederik Witt[4]

(1) Università degli Studi di Torino, Italy
(2) Universität Stuttgart, Germany
(3) Warsaw University, Poland
(4) Universität Münster, Germany

Metrics of special holonomy are of central interest in both Riemannian and complex algebraic geometry. We focus on an important classification problem of a particular type of special holonomy manifolds, namely compact quaternion-Kähler with positive scalar curvature (Salamon-LeBrun conjecture). In the language of algebraic geometry this corresponds to the classification of Fano contact manifolds. By bringing together leading experts in both fields this workshop pursued a two-fold goal: First, to revise old and to develop new strategies for proving the most central conjecture in the field of quaternionic Kähler geometry. Second, to introduce young researchers at PhD/PostDoc level to this interdisciplinary circle of ideas.

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Fino Anna, Semmelmann Uwe, Wisniewski Jaroslaw, Witt Frederik: Mini-Workshop: Quaternion Kähler Structures in Riemannian and Algebraic Geometry. Oberwolfach Rep. 10 (2013), 3115-3145. doi: 10.4171/OWR/2013/53