September 11, 2014
3:00PM - 4:00PM
MW 154
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2014-09-11 15:00:00
2014-09-11 16:00:00
Ergodic Theory/Probability - Ilya Vinogradov
Title: Effective Ratner Theorem for ASL(2, R) and the gaps of the sequence \( \sqrt n \) modulo 1Speaker: Ilya Vinogradov, Bristol (UK)Seminar Type: Ergodic Theory/ProbabilityAbstract: Let \( G=SL(2,\R)\ltimes R^2\) and \(Gamma=SL(2,Z)\ltimes Z^2\). Building on recent work of Strombergsson we prove a rate of equidistribution for the orbits of a certain 1-dimensional unipotent flow of Gamma\G, which projects to a closed horocycle in the unit tangent bundle to the modular surface. We use this to answer a question of Elkies and McMullen by making effective the convergence of the gap distribution of sqrt n mod .
MW 154
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2014-09-11 15:00:00
2014-09-11 16:00:00
Ergodic Theory/Probability - Ilya Vinogradov
Title: Effective Ratner Theorem for ASL(2, R) and the gaps of the sequence \( \sqrt n \) modulo 1Speaker: Ilya Vinogradov, Bristol (UK)Seminar Type: Ergodic Theory/ProbabilityAbstract: Let \( G=SL(2,\R)\ltimes R^2\) and \(Gamma=SL(2,Z)\ltimes Z^2\). Building on recent work of Strombergsson we prove a rate of equidistribution for the orbits of a certain 1-dimensional unipotent flow of Gamma\G, which projects to a closed horocycle in the unit tangent bundle to the modular surface. We use this to answer a question of Elkies and McMullen by making effective the convergence of the gap distribution of sqrt n mod .
MW 154
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Effective Ratner Theorem for ASL(2, R) and the gaps of the sequence \( \sqrt n \) modulo 1
Speaker: Ilya Vinogradov, Bristol (UK)
Seminar Type: Ergodic Theory/Probability
Abstract: Let \( G=SL(2,\R)\ltimes R^2\) and \(Gamma=SL(2,Z)\ltimes Z^2\). Building on recent work of Strombergsson we prove a rate of equidistribution for the orbits of a certain 1-dimensional unipotent flow of Gamma\G, which projects to a closed horocycle in the unit tangent bundle to the modular surface. We use this to answer a question of Elkies and McMullen by making effective the convergence of the gap distribution of sqrt n mod .
