February 11, 2016
1:50PM - 2:50PM
Cockins 240
Add to Calendar
2016-02-11 14:50:00
2016-02-11 15:50:00
Geometric Group Theory Seminar - Anton Lukyanenko
Title: Diophantine approximation in the Heisenberg groupSpeaker: Anton Lukyanenko (University of Michigan)Abstract: The Heisenberg group arises both as a simple example of a nilpotent Lie group, and as the boundary of complex hyperbolic space. Studying it from the geometry-of-numbers perspective, we ask how well a generic point can be approximated by a rational point. Surprisingly, we obtain two natural ways make the question precise. The resulting Carnot Diophantine approximation applies to a broader class of nilpotent groups, while Siegel Diophantine approximation is directly related to complex hyperbolic geometry. This is joint work with Joseph Vandehey.Seminar URL: https://research.math.osu.edu/ggt/
Cockins 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2016-02-11 13:50:00
2016-02-11 14:50:00
Geometric Group Theory Seminar - Anton Lukyanenko
Title: Diophantine approximation in the Heisenberg groupSpeaker: Anton Lukyanenko (University of Michigan)Abstract: The Heisenberg group arises both as a simple example of a nilpotent Lie group, and as the boundary of complex hyperbolic space. Studying it from the geometry-of-numbers perspective, we ask how well a generic point can be approximated by a rational point. Surprisingly, we obtain two natural ways make the question precise. The resulting Carnot Diophantine approximation applies to a broader class of nilpotent groups, while Siegel Diophantine approximation is directly related to complex hyperbolic geometry. This is joint work with Joseph Vandehey.Seminar URL: https://research.math.osu.edu/ggt/
Cockins 240
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Diophantine approximation in the Heisenberg group
Speaker: Anton Lukyanenko (University of Michigan)
Abstract: The Heisenberg group arises both as a simple example of a nilpotent Lie group, and as the boundary of complex hyperbolic space. Studying it from the geometry-of-numbers perspective, we ask how well a generic point can be approximated by a rational point. Surprisingly, we obtain two natural ways make the question precise. The resulting Carnot Diophantine approximation applies to a broader class of nilpotent groups, while Siegel Diophantine approximation is directly related to complex hyperbolic geometry. This is joint work with Joseph Vandehey.
Seminar URL: https://research.math.osu.edu/ggt/
