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X-WR-CALNAME:Discrete Mathematics Group
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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:20250101T000000
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DTSTART;TZID=Asia/Seoul:20260714T163000
DTEND;TZID=Asia/Seoul:20260714T173000
DTSTAMP:20260703T071956Z
CREATED:20260703T071956Z
LAST-MODIFIED:20260703T071956Z
UID:12840-1784046600-1784050200@dimag.ibs.re.kr
SUMMARY:Yaobin Chen\, Maximum in-general-position set in a random subset of $\mathbb{F}^d_q$
DESCRIPTION:Let $\alpha(\mathbb{F}_q^{d}\,p)$ be the maximum possible size of a point set in general position in a $p$-random subset of $\mathbb{F}_q^d$. We determine the order of magnitude of $\alpha(\mathbb{F}_q^{d}\,p)$ up to a polylogarithmic factor by proving the balanced supersaturation conjecture of Balogh and Luo. Our result also resolves a conjecture implicitly posed by the first author\, Liu\, the second author and Zeng. In the course of our proof\, we establish a lemma that demonstrates a “structure vs. randomness” phenomenon for point sets in finite-field linear spaces\, which may be of independent interest. \nThis is joint work with Jiaxi Nie\, Jing Yu\, and Wentao Zhang.
URL:https://dimag.ibs.re.kr/event/2026-07-14/
LOCATION:Room B332\, IBS (기초과학연구원)
CATEGORIES:Discrete Math Seminar
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