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PRODID:-//Discrete Mathematics Group - ECPv6.15.20//NONSGML v1.0//EN
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X-WR-CALNAME:Discrete Mathematics Group
X-ORIGINAL-URL:https://dimag.ibs.re.kr
X-WR-CALDESC:Events for Discrete Mathematics Group
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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20200101T000000
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DTSTART;TZID=Asia/Seoul:20210209T163000
DTEND;TZID=Asia/Seoul:20210209T173000
DTSTAMP:20260419T131939
CREATED:20210203T050722Z
LAST-MODIFIED:20240705T191023Z
UID:3581-1612888200-1612891800@dimag.ibs.re.kr
SUMMARY:Doowon Koh (고두원)\, On the cone restriction conjecture in four dimensions and applications in incidence geometry
DESCRIPTION:Main purpose of this talk is to introduce a connection between restriction estimates for cones and point-sphere incidence theorems in the finite field setting. First\, we review the finite field restriction problem for cones and address new results on the conical restriction problems. In particular\, we establish the restriction conjecture for the cone in four dimensions. Second\, we study how to apply the conical restriction results to the point-sphere incidence bounds. As a consequence\, we obtain sharp point-sphere incidence bounds when sphere sets are not too big.
URL:https://dimag.ibs.re.kr/event/2021-02-09/
LOCATION:Room B232\, IBS (기초과학연구원)
CATEGORIES:Discrete Math Seminar
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