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Home » Summer Graduate School » Schedules » Lecture & Mini Course 1: Metric Geometry and Analysis on Boundaries of Gromov Hyperbolic Spaces, and Applications

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

Metric Geometry and Geometric Analysis (Oxford, United Kingdom) July 11, 2022 - July 22, 2022

July 18, 2022 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Bruce Kleiner (New York University, Courant Institute)
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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

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