Given a space X, one may want to know if it can be embedded into a vector space in a controlled way. Interestingly, this question is of interest in both abstract mathematics (for example, it has implications for the Novikov Conjecture) and in data science, where such embeddings are a necessary preprocessing step to traditional machine learning techniques. In this talk I will define coarse embeddings and talk about some existence and non-existence results for coarse embeddings into Hilbert space, focusing on spaces that resemble a set of point clouds.

Speaker’s Website: https://mathstats.uncg.edu/people/directory/weighill/