October 9, 2018
3:00PM - 4:00PM
Cockins Hall 240
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2018-10-09 15:00:00
2018-10-09 16:00:00
Ergodic Theory / Probability Seminar - Manuel Luethi
Title: Primitive rational points on expanding horospheres
Speaker: Manuel Luethi (ETH-Zurich)
Abstract: An observation by Marklof implies that the primitive rational points of denominator n along the stable horocycle orbits of large volume determined by n equidistribute within a proper submanifold of the unit tangent bundle to the modular surface. We examine the general behavior of primitive rational points along expanding horospheres and prove joint equidistribution in products of the torus and the unit tangent bundle to the modular surface using effective mixing for congruence quotients.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2018-10-09 15:00:00
2018-10-09 16:00:00
Ergodic Theory / Probability Seminar - Manuel Luethi
Title: Primitive rational points on expanding horospheres
Speaker: Manuel Luethi (ETH-Zurich)
Abstract: An observation by Marklof implies that the primitive rational points of denominator n along the stable horocycle orbits of large volume determined by n equidistribute within a proper submanifold of the unit tangent bundle to the modular surface. We examine the general behavior of primitive rational points along expanding horospheres and prove joint equidistribution in products of the torus and the unit tangent bundle to the modular surface using effective mixing for congruence quotients.
Cockins Hall 240
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Primitive rational points on expanding horospheres
Speaker: Manuel Luethi (ETH-Zurich)
Abstract: An observation by Marklof implies that the primitive rational points of denominator n along the stable horocycle orbits of large volume determined by n equidistribute within a proper submanifold of the unit tangent bundle to the modular surface. We examine the general behavior of primitive rational points along expanding horospheres and prove joint equidistribution in products of the torus and the unit tangent bundle to the modular surface using effective mixing for congruence quotients.
