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Title:
Lecture & Mini Course 1: Metric Geometry and Analysis on Boundaries of Gromov Hyperbolic Spaces, and Applications

Speaker:
Bruce Kleiner

Abstract:
The minicourse will cover some aspects of metric and analytical structure on boundaries of Gromov hyperbolic spaces, applications to rigidity, and open problem. Recommended preparatory reading: (1) Quasi-isometries and the Milnor-Svarc lemma.  Bridson-Haefliger I.8; Drutu-Kapovich 8.1-8.3. (2) Gromov hyperbolic spaces: definitions, examples, Morse lemma on stability of quasigeodesics, definition of the boundary.  Bridson-Haefliger.  III.H.1, III.H.3; Drutu- Kapovich 11.1, 11.10, 11.11, 11.13. (3) The theorems of Rademacher and Stepanov, Section 3 in Lectures on Lipschitz analysis, Heinonen, available here:  http://www.math.jyu.fi/research/reports/rep100.pdf#page=18

Link:
https://www.msri.org/summer_schools/926/schedules/32124

Workshop:
MSRI- Metric Geometry and Geometric Analysis (Oxford, United Kingdom)