September 24, 2015
3:00PM
-
4:00PM
Math Tower 154
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2015-09-24 14:00:00
2015-09-24 15:00:00
Ergodic Theory/Probability Seminar - Cheng Zheng
Title: Sparse equidistribution of unipotent orbits in finite-volume quotients of PSL(2,R)Speaker: Cheng Zheng (OSU)Abstract: We consider the orbits {pu(n1+?)|n ? N} in G\PSL(2,R), where G is a non-uniform lattice in PSL(2,R) and {u(t)} is the standard unipotent one-parameter subgroup in PSL(2, R). Under a Diophantine condition on the intial point p, we can prove that the trajectory {pu(n1+? )|n ? N} is equidistributed in G\ PSL(2, R) for small ? > 0, which generalizes a result of Venkatesh for cocompact lattices G.
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2015-09-24 15:00:00
2015-09-24 16:00:00
Ergodic Theory/Probability Seminar - Cheng Zheng
Title: Sparse equidistribution of unipotent orbits in finite-volume quotients of PSL(2,R)Speaker: Cheng Zheng (OSU)Abstract: We consider the orbits {pu(n1+?)|n ? N} in G\PSL(2,R), where G is a non-uniform lattice in PSL(2,R) and {u(t)} is the standard unipotent one-parameter subgroup in PSL(2, R). Under a Diophantine condition on the intial point p, we can prove that the trajectory {pu(n1+? )|n ? N} is equidistributed in G\ PSL(2, R) for small ? > 0, which generalizes a result of Venkatesh for cocompact lattices G.
Math Tower 154
America/New_York
public
Title: Sparse equidistribution of unipotent orbits in finite-volume quotients of PSL(2,R)
Speaker: Cheng Zheng (OSU)
Abstract: We consider the orbits {pu(n1+?)|n ? N} in G\PSL(2,R), where G is a non-uniform lattice in PSL(2,R) and {u(t)} is the standard unipotent one-parameter subgroup in PSL(2, R). Under a Diophantine condition on the intial point p, we can prove that the trajectory {pu(n1+? )|n ? N} is equidistributed in G\ PSL(2, R) for small ? > 0, which generalizes a result of Venkatesh for cocompact lattices G.
