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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
BEGIN:STANDARD
TZOFFSETFROM:+0900
TZOFFSETTO:+0900
TZNAME:KST
DTSTART:20190101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20200616T163000
DTEND;TZID=Asia/Seoul:20200616T173000
DTSTAMP:20260420T045442
CREATED:20200525T080845Z
LAST-MODIFIED:20240707T083941Z
UID:2478-1592325000-1592328600@dimag.ibs.re.kr
SUMMARY:Andreas Holmsen\, Fractional Helly and topological complexity
DESCRIPTION:The fractional Helly theorem is a simple yet remarkable generalization of Helly’s classical theorem on the intersection of convex sets\, and it is of considerable interest to extend the fractional Helly theorem beyond the setting of convexity. In this talk I will discuss a recent result which shows that the fractional Helly theorem holds for families of subsets of $\mathbb R^d$ which satisfy only very weak topological assumptions. The proofs combine a number of tools such as homological minors\, stair-convexity\, supersaturation in hypergraphs\, Radon dimension\, and Ramsey-type arguments. This is joint work with Xavier Goaoc and Zuzana Patáková.
URL:https://dimag.ibs.re.kr/event/2020-06-16/
LOCATION:Room B232\, IBS (기초과학연구원)
CATEGORIES:Discrete Math Seminar
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