Title: Normal numbers with respect to the Cantor series expansions and possible applications to studying algebraic varieties
Speaker: Bill Mance (Adam Mickiewicz University)
Abstract: We will discuss basic properties of normal numbers for the Cantor series expansions and a recent result of D. Airey and B. Mance. Using ideas introduced in this paper as well as techniques from descriptive set theory, it may be possible to show that information about algebraic varieties is encoded in the structure of sets of normal numbers. We will outline this idea and the barriers one may encounter in finishing it.
Seminar URL: https://research.math.osu.edu/numbertheory/