ICTP Mathematics Seminar - Thursday 2 August, at 16:00 hrs. (Liviana PALMISANO)

[ICTP Math Section]

M A T H E M A T I C S   S E M I N A R S  2018


Thursday 2 August, at 16.00 hrs.




Liviana Palmisano  (Uppsala University)



Title:
The rigidity conjecture


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.
We will discuss the case of circle maps with a flat interval. The class 
of maps with Fibonacci rotation numbers is a C1 manifold which is 
foliated with co dimension three rigidity classes. Finally, we summarize 
the known non-rigidity phenomena in a conjecture which describes how 
topological classes are organized into rigidity classes.





VENUE:  Stasi Seminar Room (ICTP Leonardo da Vinci Building, first floor)