The geometry of convex domains in Euclidean space plays a central role in several branches of mathematics: functional and harmonic analysis, the theory of PDE, linear programming and, increasingly, in the study of other algorithms in computer science. High-dimensional geometry is an extremely active area of research: the participation of a considerable number of talented young mathematicians at this meeting is testament to the fact that the field is flourishing.
Cite this article
Keith M. Ball, Martin Henk, Monika Ludwig, Convex Geometry and its Applications. Oberwolfach Rep. 9 (2012), no. 4, pp. 3473–3548DOI 10.4171/OWR/2012/59