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Special Colloquium/Candidate Presentation: Thresholds

Event Type
Seminar/Symposium
Sponsor
n/a
Virtual
wifi event
Date
Jan 13, 2022   4:00 pm  
Speaker
Jinyoung Park (Stanford University)
Contact
Alexandr Kostochka
E-Mail
kostochk@illinois.edu
Views
139

Abstract: 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 this talk, I will first introduce the Kahn-Kalai Conjecture with some motivating examples and then talk about the recent resolution of a fractional version of the Kahn-Kalai Conjecture due to Frankston, Kahn, Narayanan, and myself. Some follow-up work, along with open questions, will also be discussed.

Zoom link:  https://illinois.zoom.us/my/kostochk?pwd=STFhMEZyS1JtWG5udWpSRDZsQmJKUT09

Meeting ID: 793 864 7305

Passcode: 588788

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