Dynamic System Seminar——New progress of algebraic actions
                    
                  
                  
                  
                    报告人:Prof.Wang Zhenqi (Michigan State University)
 
                    时间:2019-12-13  10:00-11:00
  
                    地点:Room 1303, Science Building No.1
                   
                  
                    Abstract: We show $C^\infty$ local rigidity for a broad class of  exceptional algebraic actions,  including rank one  partially hyperbolic actions,parabolic actions, higher rank but not genuinely higher rank partially hyperbolic actions.The method of proof is a combination of KAM type iteration scheme and representation theory and harmonic analysis. The principal difference with previous work that used KAM scheme is very general nature of the proof.