Seminars & Colloquia Calendar
Divisor correlations and stratified subvarieties
Brian Conrey, Executive Director, American Institute of Math
Location: HILL 705
Date & time: Tuesday, 10 October 2017 at 3:00PM - 5:00PM
Abstract: In studying moments of the Riemann zeta-function one is quickly led to consider averages of divisor correlations. These may be studied as Diophantine
inequalities. But there is a surprising phenomenon: the usual appraisal of these via the circle method or delta method do not reveal all of the structure.
Instead one must consider "subvarieties" which amount to convolutions of divisor correlations for lower order divisor functions. This phenomenon is known to arithmetic geometers and has been called Manin stratification by some. It is less well known to analytic number theorists.
This talk is intended to encourage analytic number theorists to take up this study.