Interactive opinion formation in a multi-opinion model

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Mathematik und Informatik

Benedikt When the hurlyburly’s done, When the battle’s lost and won. William Shakespeare, “Macbeth ” Preface Positive Quaternion Kähler Geometry lies in the intersection of very classical yet rather different fields in mathematics. Despite its geometrical setting which involves fundamental definitions from Riemannian geometry, it was soon discovered to be accessible by methods from (differential) topology, symplectic geometry and complex algebraic geometry even. Indeed, it is an astounding fact that the whole theory can entirely be encoded in terms of Fano contact geometry. This approach led to some highly prominent and outstanding results. Aside from that, recent results have revealed in-depth connections to the theory of positively curved Riemannian manifolds. Furthermore, the conjectural existence of symmetry groups, which is confirmed in low dimensions, sets the stage for equivariant methods in cohomology, homotopy and Index Theory. The interplay of these highly dissimilar theories contributes to the appeal and th