DIFFERENTIAL GEOMETRY SEMINAR - James Dibble (Western Illinois University)

Speaker: 
James Dibble (Western Illinois University)
Topic: 
Distortion from spheres into Euclidean space

Abstract: The distortion of a function between two metric spaces is defined to be the supremum, taken over all pairs of points in the domain, of the magnitude of the additive change in distance effected by the function. In this talk, a lower bound for the distortion of any function from a round n-sphere into Euclidean space of the same dimension will be proved. This bound is sharp in dimensions one and two.

 

Event Date: 
April 19, 2016 - 2:30pm to 3:30pm
Location: 
B13 MLH
Calendar Category: 
Seminar