Mathematics Colloquium |
|
Date |
28 Feb, Wed, 4 pm |
Venue |
Ramanujan Hall |
Host |
Ravi Raghunathan |
speaker |
Meera Mainkar |
Affiliation |
Central Michigan University, Mt. Pleasant |
Title |
Preserve one, preserve all |
Abstract: The classical theorem of Beckman and Quarles states the following: A function from the Euclidean plane to itself that preserves unit distances must preserve all distances. We will discuss some key steps of the proof. We will also discuss our recent result generalizing this theorem. This is joint work with Ben Schmidt. We will try to make the talk accessible to a wide audience.