
Title: Restriction estimates and their applications to analytic number theory
Speaker: Xuancheng Shao (University of Kentucky)
Abstract: I will survey recent developments on restriction theory for exponential sums over sets of number theoretic interest, such as primes, smooth numbers, and k-th powers, and their applications to analytic number theory and additive combinatorics, including Roth-type theorems in primes and Waring-type results in smooth k-th powers.