Seminar
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| Location: | SLMath: Baker Board Room |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
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Secondary Mathematics Subject Classification
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We consider a finite piece C of an analytic curve on a minimal expanding (abelian) horospherical subgroup of G=SL(n,R) associated to some element g in G. We consider the subgroup action of G on a finte volume homogeneous space X, and consider the trajectory of C from some point x in X. We want to find algebraic conditions on C which ensures that in the limit, the translates of Cx by powers of g get equidistributed in the closure of the G orbit from x. In this talk we describe some recent joint work with Lei Yang on this problem.
This kind of results have applications to metric properties of diophantine approximation.
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