Fundamental achievements during the last three decades by V. Milman, M. Gromov,
M. Talagrand on asymptotic geometric analysis and isoperimetry for product measures
emphasized central analytic tools and ideas in the investigation of probabilistic models.
Simultaneously, the analysis and geometry of Markov operators and new striking
developments in optimal transportation extended the range of methods and results
to a wide spectrum of mathematics including convex geometry, probability theory, and
statistical mechanics. The scope of the workshop is to strenghten these powerful
methods towards challenging issues and applications, in particular the KLS conjecture
on log-concave measures or super-concentration properties of models from random matrix
theory and statistical mechanics. New perspectives motivated by these applications
furthermore strongly favor the analysis of discrete models. The workshop will bring
together researchers and expertise from a broad spectrum in analysis and probability
theory to tackle some of these issues towards fruitful new developments.