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Oberwolfach Reports

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Volume 17, Issue 1, 2020, pp. 377–416
DOI: 10.4171/OWR/2020/6

Published online: 2021-02-09

New Perspectives and Computational Challenges in High Dimensions

Aicke Hinrichs[1], Joscha Prochno[2], Christoph Thäle[3] and Elisabeth Werner[4]

(1) Johannes-Kepler-Universität Linz, Austria
(2) University of Hull, UK
(3) Ruhr-Universität Bochum, Germany
(4) Case Western Reserve University, Cleveland, USA

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.

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Hinrichs Aicke, Prochno Joscha, Thäle Christoph, Werner Elisabeth: New Perspectives and Computational Challenges in High Dimensions. Oberwolfach Rep. 17 (2020), 377-416. doi: 10.4171/OWR/2020/6