seminar: The rigidity conjecture
speaker: Liviana Palmisano (Uppsala University)abstract: A central question in dynamics is whether the topology of a system determines its geometry, whether the system is rigid. Under mild topological conditions rigidity holds in many classical cases, including: Kleinian groups, circle diffeomorphisms, unimodal interval maps, critical circle maps, and circle maps with a break point. More recent developments show that under similar topological conditions, rigidity does not hold for slightly more general systems, such as, circle maps with a flat interval, Lorenz maps, Hènon maps. These examples as well as the case of generalized interval exchange transformations will be discussed. Finally, we summarize the known non-rigidity phenomena in a conjecture which describes how topological classes are organized into rigidity classes.
timetable:
Tue 24 Apr, 15:00 - 16:00, Sala Conferenze Centro De Giorgi
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