IPM

                                پژوهشگاه دانش‌های بنیادی
پژوهشکدهٔ ریاضیات


Geometry and Topology Weekly Seminar سمینار هفتگی هندسه و توپولوژی




TITLE  
A Mechanism for Ergodicity of Higher Dimensional Expanding Actions


SPEAKER  
Abbas Fakhari  
Shahid Beheshti University and IPM  
 


TIME  
Wednesday, November 15, 2017,   15:30 - 17:00


VENUE   Lecture Hall 1, Niavaran Bldg.



SUMMARY

 

Here, I want to provide a general mechanism for ergodicity of higher dimensional expanding actions. Our method is based on creating rich number of generators for which the action induced on the flag manifold is minimal. More precisely, it is proved that for any n-dimensional manifold M​, there are 22n-1​​ different types of locally expanding generators whose existence guarantee ergodicity of the action.

 




تهران، ضلع‌ جنوبی ميدان شهيد باهنر (نياوران)، پژوهشگاه دانش‌های بنيادی، پژوهشکده رياضيات
School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Niavaran Bldg., Niavaran Square, Tehran
ipmmath@ipm.ir   ♦   +98 21 22290928   ♦  math.ipm.ir