Gil Kalai: Algebraic shifting

Turán emlékelőadás 3.

Shifting is a combinatorial operation introduced (implicity) in Erdős, Ko and Rado's famous paper and later studied and developed by Kleitman, Frankl, Füredi and others. In the lecture I will talk about algebraic versions of shifting that I introduced in the mid 80s, mention the connections to early works of Stanley and Lovász, discuss some applications and connections in several areas of combinatorics, and if time allows mention a speculative connection to Turán's famous (4,3) problem.

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