论文标题
Delta广场猜想的山谷版本
A valley version of the Delta square conjecture
论文作者
论文摘要
受[Qiu,Wilson 2019]和[D'D'Adderio,Iraci,Vanden Wyngaerd 2019 -Delta Square]的启发,我们制定了一个广义的Delta Square猜想(Valley版本)。此外,我们使用与[Haglund,Sergel 2019]中的类似技术来获得我们猜想组合的时间表公式。然后,我们使用此公式来证明Delta猜想的(广义)山谷版本意味着我们的(广义)山谷版本的Delta Square猜想。这一含义扩大了[Sergel 2016]中的论点,它依赖于[d'd'dderio,iraci,iraci,vanden wyngaerd 2019 -theta operators介绍的$θ_f$ operators的表述]。
Inspired by [Qiu, Wilson 2019] and [D'Adderio, Iraci, Vanden Wyngaerd 2019 - Delta Square], we formulate a generalised Delta square conjecture (valley version). Furthermore, we use similar techniques as in [Haglund, Sergel 2019] to obtain a schedule formula for the combinatorics of our conjecture. We then use this formula to prove that the (generalised) valley version of the Delta conjecture implies our (generalised) valley version of the Delta square conjecture. This implication broadens the argument in [Sergel 2016], relying on the formulation of the touching version in terms of the $Θ_f$ operators introduced in [D'Adderio, Iraci, Vanden Wyngaerd 2019 - Theta Operators].