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Some conjectures about column LLT polynomials
时间  Datetime
2019-03-22 08:30 — 09:30 
地点  Venue
Middle Lecture Room(703)
报告人  Speaker
丘敦
单位  Affiliation
University of California, San Diego, USA
邀请人  Host
张晓东
报告摘要  Abstract

Column LLT polynomials are well-studied symmetric functions defined by Lascoux, Leclerc and Thibon. Column LLT polynomials are Schur positive, 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" graphs.