Add to ORKGIn this paper, we extend the rectangular side of the shuffle conjecture by stating a rectangular analogue of the square paths conjecture. In addition, we describe a set of combinatorial objects and one statistic that are a first step towards a rectangular extension of (the rise version of) the Delta conjecture, and of (the rise version of) the Delta square conjecture, corresponding to the case \(q=1\) of an expected general statement. We also prove our new rectangular paths conjecture in the special case when the sides of the rectangle are coprime.Mathematics Subject Classifications: 05E05Keywords: Macdonald polynomials, symmetric function
We discuss the combinatorics of decorated Dyck paths and decorated parallelogram polyominoes, extend...
We discuss the combinatorics of decorated Dyck paths and decorated parallelogram polyominoes, extend...
International audienceThe Classical Shuffle Conjecture of Haglund et al. (2005) has a symmetric func...
In this paper, we extend the rectangular side of the shuffle conjecture by stating a rectangular ana...
In this paper, we extend the rectangular side of the shuffle conjecture by stating a rectangular ana...
Since their introduction in 1988, Macdonald polynomials have played a central role in algebraic comb...
Since their introduction in 1988, Macdonald polynomials have played a central role in algebraic comb...
We conjecture a formula for the symmetric function [n.k]t/[n]t Δhm Δen-k ω(pn) in terms of decorated...
We conjecture a formula for the symmetric function [n.k]t/[n]t Δhm Δen-k ω(pn) in terms of decorated...
The Classical Shuffle Conjecture proposed by Haglund, Haiman, Loehr, Remmel and Ulyanov gives a well...
The Classical Shuffle Conjecture proposed by Haglund, Haiman, Loehr, Remmel and Ulyanov gives a well...
I will first describe explicit (GL_k x S_n)-modules, in k sets on n variables, whose graded Frobeniu...
The original Shuffle Conjecture of Haglund et al. has a symmetric function side and a combinatorial ...
The Shuffle Theorem of Carlsson and Mellit gives a combinatorial expression for the bigraded Frobeni...
We discuss the combinatorics of decorated Dyck paths and decorated parallelogram polyominoes, extend...
We discuss the combinatorics of decorated Dyck paths and decorated parallelogram polyominoes, extend...
We discuss the combinatorics of decorated Dyck paths and decorated parallelogram polyominoes, extend...
International audienceThe Classical Shuffle Conjecture of Haglund et al. (2005) has a symmetric func...
In this paper, we extend the rectangular side of the shuffle conjecture by stating a rectangular ana...
In this paper, we extend the rectangular side of the shuffle conjecture by stating a rectangular ana...
Since their introduction in 1988, Macdonald polynomials have played a central role in algebraic comb...
Since their introduction in 1988, Macdonald polynomials have played a central role in algebraic comb...
We conjecture a formula for the symmetric function [n.k]t/[n]t Δhm Δen-k ω(pn) in terms of decorated...
We conjecture a formula for the symmetric function [n.k]t/[n]t Δhm Δen-k ω(pn) in terms of decorated...
The Classical Shuffle Conjecture proposed by Haglund, Haiman, Loehr, Remmel and Ulyanov gives a well...
The Classical Shuffle Conjecture proposed by Haglund, Haiman, Loehr, Remmel and Ulyanov gives a well...
I will first describe explicit (GL_k x S_n)-modules, in k sets on n variables, whose graded Frobeniu...
The original Shuffle Conjecture of Haglund et al. has a symmetric function side and a combinatorial ...
The Shuffle Theorem of Carlsson and Mellit gives a combinatorial expression for the bigraded Frobeni...
We discuss the combinatorics of decorated Dyck paths and decorated parallelogram polyominoes, extend...
We discuss the combinatorics of decorated Dyck paths and decorated parallelogram polyominoes, extend...
We discuss the combinatorics of decorated Dyck paths and decorated parallelogram polyominoes, extend...
International audienceThe Classical Shuffle Conjecture of Haglund et al. (2005) has a symmetric func...