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

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