- Series
- School of Mathematics Colloquium
- Time
- Thursday, February 15, 2024 - 11:00am for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Dustin Mixon – Ohio State University – mixon.23@osu.edu – https://people.math.osu.edu/mixon.23/
- Organizer
- Alex Dunn
Motivated by problems in data science, we study the following questions:
(1) Given a Hilbert space V and a group G of linear isometries, does there exist a bilipschitz embedding of the quotient metric space V/G into a Hilbert space?
(2) What are necessary and sufficient conditions for such embeddings?
(3) Which embeddings minimally distort the metric?
We answer these questions in a variety of settings, and we conclude with several open problems.