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Some conjectures about column LLT polynomials
Algebraic Geometry| Speaker: | Dun Qiu, UCSD |
| Related Webpage: | http://www.math.ucsd.edu/~duqiu/ |
| Location: | 2112 MSB |
| Start time: | Wed, May 29 2019, 1:10PM |
Column LLT polynomials are well-studied Schur positive symmetric functions defined by Lascoux, Leclerc and Thibon, and they have many nice combinatorial properties. We conjecture that column LLT polynomials are \(e\)-positive when substituting \(q\) with \(1+q\), and the coefficients of the \(e\)-basis expansion can be obtained by constructions of "inequality" posets.