About this Event
Date: Monday, September 25 (09/25/2023)
Time: 4:00 PM - 5:00 PM
Location: Witmer 309
Title: An Extension of the Kahn-Kalai Bounds
Speaker: Bryce Christopherson, Assistant Professor of Mathematics, University of North Dakota
Abstract: In 2006, Jeff Kahn and Gil Kalai posed a (later, eponymously-named) conjecture regarding a first moment bound on the precise point at which certain unlikely events become likely. Sixteen years later, the Kahn-Kali conjecture (now, better known as the Park-Pham theorem) was proved by Jinyoung Park and Huy Tuan Pham to much acclaim.
If one looks closely, it is not too hard to see that the Park-Pham theorem is fundamentally order-theoretic in nature, albeit idiosyncratically formulated and situated in a somewhat tame setting. It is tempting then to wonder if one might be able to expect that some similar analog to the result holds in a more general context. In this talk, we will show that this is possible in some circumstances and try our best to convince you that this hints at the possibility of a much grander theory.
101 Cornell St, Grand Forks, ND 58202
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