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SEMINARS
Algebraic stability of exponential sums
时间  Datetime
2019-12-10 14:00 — 15:00 
地点  Venue
813
报告人  Speaker
Daqing Wan
单位  Affiliation
University of California, Irvine
邀请人  Host
Jiyou Li
报告摘要  Abstract

 Exponential sums over finite fields play a central role in number theory. This has been studied mostly from a complex point of view, estimating their complex absolutes, leading to the celebrated Weil-Deligne bound (the Riemann hypothesis over finite fields). In this talk, we view exponential sums as algebraic integers and explore its striking algebraic stability in extension fields. This is an entirely new direction.