BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Dimitris Gerontogiannis (Leiden University)
DTSTART:20230426T190000Z
DTEND:20230426T200000Z
DTSTAMP:20260420T053337Z
UID:NYC-NCG/130
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/130/
 ">Smale spaces and their dimension theory</a>\nby Dimitris Gerontogiannis 
 (Leiden University) as part of Noncommutative geometry in NYC\n\n\nAbstrac
 t\nSmale spaces were defined by David Ruelle in the 1970's as topological 
 models for the typically fractal-like hyperbolic nonwandering sets of Step
 hen Smale's Axiom A systems. A Smale space is a compact metric space toget
 her with a homeomorphism having exponential contraction and expansion beha
 viour. Prototype examples are the topological Markov chains\, aperiodic su
 bstitution tilings and hyperbolic toral automorphisms. This talk will give
  an example-driven introduction to Smale spaces with a focus on their dime
 nsion theory\, which can be studied via Markov partitions and Ahlfors regu
 lar measures. If time permits\, I will briefly mention how the dimension t
 heory of a Smale space is related to fine analytic properties of the opera
 tor algebras encoding the stable and unstable foliations on it.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/130/
END:VEVENT
END:VCALENDAR