Understanding the geometric structure of systems involving a huge amount of parameters is a central problem in mathematics and applied sciences today. Here, geometric and analytical ideas meet in a non-trivial way and powerful probabilistic tools play a key role in many discoveries. Two essentially independent areas of mathematics concerned with high-dimensional problems are asymptotic geometric analysis and information-based complexity. In this Mini-Workshop we brought together researchers from both fields to explore the connections and form synergies to develop new perspectives.
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Joscha Prochno, Christoph Thäle, Elisabeth Werner, Mini-Workshop: Perspectives in High-Dimensional Probability and Convexity. Oberwolfach Rep. 14 (2017), no. 1, pp. 499–526DOI 10.4171/OWR/2017/10