Title: On the analysis, combinatorics and number theory of finite point configurations
Speaker: Alex Iosevich (University of Rochester)
Abstract: The basic question we ask is, given a sufficiently large subset of a given vector space, where large is determined via cardinality, Lebesgue measure or Hausdorff dimensions, depending on the context, does it contain a congruent copy of a given geometric configuration. In this talk we are going to describe connections between this problem and metric embedding theorems. We will also emphasize the role of curvature in the continuous setting and the analogous arithmetic phenomena in the discrete analogs of the problems. The talk is designed to be accessible to a wide audience.
Colloquium URL: https://web.math.osu.edu/colloquium/
