Title: Diophantine approximation on the plane by SL(2,$\mathbb Z$) orbits.
Abstract: It is known that under the action of SL(2,$\mathbb Z$) on the plane the orbit of any vector which is not a multiple of a rational vector, is dense in the plane. Thus any vector in the plane can be approximated by points on such an orbit. This talk will discuss certain quantitative aspects of such an approximation.
4:00pm
5:00pm
6:00pm
Time:
3:30pm-5:00pm
Location:
Room 216, Maths Building
Description:
Title: Diophantine approximation on the plane by SL(2,$\mathbb Z$) orbits.
Abstract: It is known that under the action of SL(2,$\mathbb Z$) on the plane the orbit of any vector which is not a multiple of a rational vector, is dense in the plane. Thus any vector in the plane can be approximated by points on such an orbit. This talk will discuss certain quantitative aspects of such an approximation.