New Perspectives and Computational Challenges in High Dimensions

  • Aicke Hinrichs

    Johannes-Kepler-Universität Linz, Austria
  • Joscha Prochno

    University of Hull, UK
  • Christoph Thäle

    Ruhr-Universität Bochum, Germany
  • Elisabeth Werner

    Case Western Reserve University, Cleveland, USA
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High-dimensional systems are frequent in mathematics and applied sciences, and the understanding of high-dimensional phenomena has become increasingly important. The mathematical subdisciplines most strongly related to such phenomena are functional analysis, convex geometry, and probability theory. In fact, a new area emerged, called asymptotic geometric analysis, which is at the very core of these disciplines and bears a number of deep connections to mathematical physics, numerical analysis, and theoretical computer science. The last two decades have seen a tremendous growth in this area. Far reaching results were obtained and various powerful techniques have been developed, which rather often have a probabilistic flavor. The purpose of this workshop was to explored these new perspectives, to reach out to other areas concerned with high-dimensional problems, and to bring together researchers having different angles on high-dimensional phenomena.

Cite this article

Aicke Hinrichs, Joscha Prochno, Christoph Thäle, Elisabeth Werner, New Perspectives and Computational Challenges in High Dimensions. Oberwolfach Rep. 17 (2020), no. 1, pp. 377–416

DOI 10.4171/OWR/2020/6