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SUMMARY:Yuqiu Fu (MIT)
DTSTART:20211115T220000Z
DTEND:20211115T230000Z
DTSTAMP:20260423T005706Z
UID:OARS/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OARS/28/">De
 coupling for short generalized Dirichlet sequences</a>\nby Yuqiu Fu (MIT) 
 as part of OARS Online Analysis Research Seminar\n\n\nAbstract\nWe will di
 scuss some geometric similarities between the sequence $\\{\\log n\\}_{n=N
 +1}^{N+N^{1/2}}$ (and sequences with similar convexity properties) and the
  parabola from a decoupling point of view.\nBased on those observations we
  present decoupling inequalities for those sequences.\nThe sequence $\\{\\
 log n\\}_{n=N+1}^{2N}$ is closely connected to a conjecture of Montgomery 
 on Dirichlet polynomials but we see some difficulties in studying the sequ
 ence $\\{\\log n\\}_{n=N+1}^{N+N^{\\alpha}}$ for $\\alpha > 1/2$. This is 
 joint work with Larry Guth and Dominique Maldague.\n
LOCATION:https://researchseminars.org/talk/OARS/28/
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