ICTP Math Associates Seminar (!! Google Meeting !!) - Thursday 13 May at 14:00 (Abbas Fakhari)

[ICTP Math Section]

ICTP Math Associates Seminar


Thursday 13 May, at 14:00, Central European Time



Please register in advance for this meeting (*kindly note unusual 
platform*!):

https://meet.google.com/otj-mqpy-inq


To attend the seminar kindly click on the link above a few minutes 
before the event starts and wait until the host allows you to access.

Speaker: Abbas Fakhari (IPM and Shahid Beheshti University)



Title: Stable local dynamics: expansion, quasi-conformality and ergodicity



Abstract: We discuss the stable ergodicity of the action of groups  of 
diffeomorphisms on smooth manifolds. The existence of such actions is 
well-known only on
one-dimensional manifolds. As a consequence of a new local and stable 
mechanism/phenomenon, called quasi-conformal blender, one can overcome 
this restriction and construct higher-dimensional examples. In 
particular, every closed manifold admits stably ergodic finitely 
generated group actions by smoothdiffeomorphisms. One can also prove the 
stable ergodicity of thenatural action of a generic pair of matrices 
near the identity on a sphere of arbitrary dimension.  The 
quasi-conformal blender is developed in the context of pseudo-semigroup 
actions of locally defined smooth diffeomorphisms and yields stable 
local ergodicity in several different settings.

This talk is based on a joint work with M. Nassiri  andH. Rajabzadeh.