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Dynamic System Seminar——New progress of algebraic actions

2019-12-13 10:00-11:00 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.