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Jinyoung Park (박진영), Thresholds 1/2

July 18 Monday @ 4:30 PM - 5:30 PM KST

Room B332, IBS (기초과학연구원)

Thresholds for increasing properties of random structures are a central concern in probabilistic combinatorics and related areas. In 2006, Kahn and Kalai conjectured that for any nontrivial increasing property on a finite set, its threshold is never far from its “expectation-threshold,” which is a natural (and often easy to calculate) lower bound on the threshold.

In the first talk on Monday, I will introduce the Kahn-Kalai Conjecture with some motivating examples and then briefly talk about the recent resolution of the Kahn-Kalai Conjecture due to Huy Pham and myself.

In the second talk on Tuesday, I will discuss our proof of the conjecture in detail.

Details

Date:
July 18 Monday
Time:
4:30 PM - 5:30 PM KST
Event Category:
Event Tags:
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Venue

Room B332
IBS (기초과학연구원)
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Organizer

Sang-il Oum (엄상일)
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IBS 이산수학그룹 Discrete Mathematics Group
기초과학연구원 수리및계산과학연구단 이산수학그룹
대전 유성구 엑스포로 55 (우) 34126
IBS Discrete Mathematics Group (DIMAG)
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
E-mail: dimag@ibs.re.kr, Fax: +82-42-878-9209
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