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Home » GAAHD Research Seminar: Equidistribution of expanding translates of curves on homogeneous spaces

Seminar

GAAHD Research Seminar: Equidistribution of expanding translates of curves on homogeneous spaces March 10, 2015 (10:30 AM PDT - 12:00 PM PDT)
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Location: MSRI: Baker Board Room
Speaker(s) Nimish Shah (Ohio State University)
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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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