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European Mathematical Society Publishing House
2016-09-19 17:05:19
Oberwolfach Reports
Oberwolfach Rep.
OWR
1660-8933
1660-8941
General
10.4171/OWR
http://www.ems-ph.org/doi/10.4171/OWR
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© Mathematisches Forschungsinstitut Oberwolfach
6
2009
4
Convex Geometry and its Applications
Keith
Ball
University of Warwick, COVENTRY, UNITED KINGDOM
Martin
Henk
Technische Universität Berlin, BERLIN, GERMANY
Monika
Ludwig
Technische Universität Wien, WIEN, AUSTRIA
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, both the discrete and convex branches of it, has experienced a striking series of developments in the past 10 years. Several examples were presented at this meeting, for example the work of Rudelson et al. on conjunction matrices and their relation to confidential data analysis, that of Litvak et al. on remote sensing and a series of results by Nazarov and Ryabogin et al. on Mahler’s conjecture for the volume product of domains and their polars.
Convex and discrete geometry
Probability theory and stochastic processes
Computer science
General
2851
2926
10.4171/OWR/2009/53
http://www.ems-ph.org/doi/10.4171/OWR/2009/53