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Interactions Between Analysis and Geometry

Workshop I: Analysis on Metric Spaces

March 18 - 22, 2013

Organizing Committee | Scientific Overview | Speaker List

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Organizing Committee

Luigi Ambrosio (Scuola Normale Superiore)
Pekka Koskela (University of Jyväskylä)
Nages Shanmugalingam (University of Cincinnati)
Karl Sturm (Universität Bonn)

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Scientific Overview

The last few decades have seen the trend to extend the scope of classical analytic and geometric theories from the familiar Euclidean space or manifold setting to more general metric spaces, often of a non-smooth or fractal nature. Recently there has been spectacular progress on the development of a theory of general metric spaces resembling manifolds with Ricci curvature bounds by the work of Lott, Villani and Sturm. Their approach is based on convexity properties of an entropy functional in optimal transport. Other approaches include the use of Bochner type formulas by Baudoin and Garofalo and the use of heat kernels by Koskela, Rajala and Shanmugalingam and by Ambrosio, Gigli and Savare. However, many of the underlying analytic and geometric questions are still poorly understood. This workshop will further explore these approaches and related challenging issues, and foster new collaborations among various groups of researchers.

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Confirmed Speakers

Luigi Ambrosio (Scuola Normale Superiore)
Richard Bass (University of Connecticut)
Jana Bjorn (Linköping University)
Fabio Cavalletti (RWTH Aachen)
Nicola Garofalo (Purdue University)
Nicola Gigli (Université de Nice Sophia Antipolis)
Hrant Hakobyan (Kansas State University)
Martin Huesmann (Rheinische Friedrich-Wilhelms-Universität Bonn)
Lizaveta Ihnatsyeva (University of Jyväskylä)
Naotaka Kajino (Kobe University)
Jun Kigami (Kyoto University)
Riikka Korte (University of Helsinki)
Enrico Le Donne (University of Jyväskylä)
Rafe Mazzeo (Stanford University)
Andrea Mondino (Scuola Normale Superiore)
Assaf Naor (New York University)
Peter Petersen (University of California, Los Angeles (UCLA))
Tapio Rajala (University of Jyväskylä)
Tatiana Toro (University of Washington)
Yi Wang (Stanford University)
Hui-Chun Zhang (Sun Yat-Sen University)
Yuan Zhou (Beijing University of Aeronautics and Astronautics (Beihang University))

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Contact Us:

Institute for Pure and Applied Mathematics (IPAM)
Attn: IAGWS1
460 Portola Plaza
Los Angeles CA 90095-7121
Phone: 310 825-4755
Fax: 310 825-4756
Email: ipam@ucla.edu
Website: http://www.ipam.ucla.edu/programs/iagws1/

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