Mathematical Sciences Research Institute

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Quantitative Geometry August 15, 2011 to December 16, 2011
Organizers Keith Ball (University College London, United Kingdom), Emmanuel Breuillard (Université Paris-Sud 11, France) , Jeff Cheeger (New York University, Courant Institute), Marianna Csornyei (University College London, United Kingdom), Mikhail Gromov (Courant Institute and Institut des Hautes Études Scientifiques, France), Bruce Kleiner (New York University, Courant Institute), Vincent Lafforgue (Université Pierre et Marie Curie, France), Manor Mendel (The Open University of Israel), Assaf Naor* (New York University, Courant Institute), Yuval Peres (Microsoft Research Laboratories), and Terence Tao (University of California, Los Angeles)
Description The Fall 2011 program "Quantitative Geometry" is devoted to the investigation of geometric questions in which quantitative/asymptotic considerations are inherent and necessary for the formulation of the problems being studied. Such topics arise naturally in a wide range of mathematical disciplines, with significant relevance both to the internal development of the respective fields, as well as to applications in areas such as theoretical computer science. Examples of areas that will be covered by the program are: geometric group theory, the theory of Lipschitz functions (e.g., Lipschitz extension problems and structural aspects such as quantitative differentiation), large scale and coarse geometry, embeddings of metric spaces and their applications to algorithm design, geometric aspects of harmonic analysis and probability, quantitative aspects of linear and non-linear Banach space theory, quantitative aspects of geometric measure theory and isoperimetry, and metric invariants arising from embedding theory and Riemannian geometry. The MSRI program aims to crystallize the interactions between researchers in various relevant fields who might lack a common language, even though they are working on related questions.

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Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Programmatic Workshops
August 18, 2011 - August 19, 2011 Connections for Women in Quantitative Geometry
August 22, 2011 - August 26, 2011 Introductory Workshop on Quantitative Geometry
September 19, 2011 - September 23, 2011 Probabilistic Reasoning in Quantitative Geometry
October 17, 2011 - October 21, 2011 Embedding Problems in Banach Spaces and Group Theory
December 05, 2011 - December 09, 2011 Quantitative Geometry in Computer Science