[Theory] UC Theory Seminar: a reminder
Alexander Razborov
razborov at uchicago.edu
Mon Mar 28 10:44:46 CDT 2022
Departments of Mathematics & Computer Science
Combinatorics & Theory Seminar
Tuesday, March 29, 3:30pm
Location Kent 107
Yufei Zhao (MIT)
TITLE: Enumerating k-SAT functions
ABSTRACT: How many k-SAT functions on n boolean variables are there?
What does a typical such function look like?
Bollobás, Brightwell, and Leader conjectured that for each fixed k,
almost every k-SAT function is unate.
In this talk, I will discuss progress towards this conjecture and
explain how the hypergraph container method can be used to reduce the
problem to a hypergraph Turán-like problem, which is solved for k ≤ 4
but remains open in general.
Joint work with Dingding Dong and Nitya Mani.
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Yufei will be giving another talk at the Math Colloquium on Wednesday;
I am forwarding the announcement under a separate message.
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