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DTSTART:20260329T030000
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DTSTAMP:20260424T033721Z
UID:1776781800@ist.ac.at
DTSTART:20260421T163000
DTEND:20260421T172000
DESCRIPTION:Speaker: Luka Milićević\nhosted by Matthew Kwan\nAbstract: Ab
 stract: Higher order Fourier analysis is a generalization of the classica
 l Fourier analysis in which the role of linear phases is played by polynom
 ial phases and related objects. It originates from the work of Gowers in w
 hich he proved quantitative bounds in Szemerédi's theorem on arithmetic p
 rogressions and introduced a family of norms on functions on an abelian gr
 oup\, now known as the uniformity norms. These norms\, denoted by U^k for 
 k ≥ 2\, are the central objects of study in this subject and a key quest
 ion is the inverse problem\, which is to understand the structure of funct
 ions with a large value of uniformity norm.In this talk\, I will present s
 ome novel results in this field: a general inverse theory for the U^4 norm
 \, as well as a joint work with arko Ranelovi\, in which we prove that the
  Möbius function does not correlate with polynomial phases in function fi
 elds over prime fields.
LOCATION:Raiffeisen Lecture Hall\, Central Building\, ISTA
ORGANIZER:Stephanie.Dolot@ist.ac.at
SUMMARY:Luka Milićević: Some new results in higher order Fourier analysis
URL:https://talks-calendar.ista.ac.at/events/6416
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