Jul 23, 2016
I will describe new approach to combinatorial objects which are provably “hard to enumerate”. In particular this shows how to construct objects whose generating function is not D-finite and even ADE. We illustrate our approach in two key examples: words over a linear group (we resolve negatively Kontsevich’s problem) pattern avoiding permutations (we resolve negatively Noonan-Zeilberger’s Conjecture) Joint work with Scott Garrabrant.I will describe new approach to combinatorial objects which are provably “hard to enumerate”. In particular this shows how to construct objects whose generating function is not D-finite and even ADE. We illustrate our approach in two key examples: words over a linear group (we resolve negatively Kontsevich’s problem) pattern avoiding permutations (we resolve negatively Noonan-Zeilberger’s Conjecture) Joint work with Scott Garrabrant.…
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International Conference on The Mathematics of Jiří Matoušek, Charles University, Prague 2016
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