%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nicholas Beaton at 2020-02-05 09:23:41 +1100 %% Saved with string encoding Unicode (UTF-8) @comment{jabref-meta: databaseType:bibtex;} @book{Andrews-Book-Partitions, Author = {Andrews, George E.}, Isbn = {0-521-63766-X}, Mrclass = {11P81 (05A17 11P82 11P83)}, Mrnumber = {1634067}, Note = {Reprint of the 1976 original}, Pages = {xvi+255}, Publisher = {Cambridge University Press, Cambridge}, Series = {Cambridge Mathematical Library}, Title = {The theory of partitions}, Year = {1998}} @article{Aval-Bergeron-Garsia-2015, Author = {Aval, Jean-Christophe and Bergeron, Fran\c{c}ois. and Garsia, Adriano M.}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Fjournal = {Journal of Combinatorial Theory. Series A}, Issn = {0097-3165}, Journal = {J. Combin. Theory Ser. 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A}, Mrclass = {05B50 (05E05)}, Mrnumber = {3157811}, Mrreviewer = {Anton Vladimirovich Shutov}, Pages = {271--286}, Title = {Statistics on parallelogram polyominoes and a {$q,t$}-analogue of the {N}arayana numbers}, Url = {https://doi.org/10.1016/j.jcta.2013.09.001}, Volume = {123}, Year = {2014}, Bdsk-Url-1 = {https://doi.org/10.1016/j.jcta.2013.09.001}} @incollection{Bergeron-Garsia-ScienceFiction-1999, Author = {Bergeron, Fran\c{c}ois and Garsia, Adriano M.}, Booktitle = {Algebraic methods and {$q$}-special functions (Montr\'eal, {QC}, 1996)}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Mrclass = {20C30 (05E05 33D67 81R05)}, Mrnumber = {1726826}, Mrreviewer = {Yasmine B. Sanderson}, Pages = {1--52}, Publisher = {Amer. Math. Soc., Providence, RI}, Series = {CRM Proc. Lecture Notes}, Title = {Science fiction and {M}acdonald's polynomials}, Volume = {22}, Year = {1999}} @article{Bergeron-Garsia-Haiman-Tesler-Positivity-1999, Author = {Bergeron, Fran\c{c}ois and Garsia, Adriano M. and Haiman, Mark and Tesler, Glenn}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Fjournal = {Methods and Applications of Analysis}, Issn = {1073-2772}, Journal = {Methods Appl. Anal.}, Mrclass = {05E05 (33D52)}, Mrnumber = {1803316}, Mrreviewer = {Ang\`ele M. Hamel}, Note = {Dedicated to Richard A. Askey on the occasion of his 65th birthday, Part III}, Number = {3}, Pages = {363--420}, Title = {Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions}, Url = {https://doi.org/10.4310/MAA.1999.v6.n3.a7}, Volume = {6}, Year = {1999}, Bdsk-Url-1 = {https://doi.org/10.4310/MAA.1999.v6.n3.a7}} @article{Bergeron-Haiman-2013, Author = {Bergeron, Fran\c{c}ois and Haiman, Mark}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Fjournal = {International Journal of Algebra and Computation}, Issn = {0218-1967}, Journal = {Internat. J. Algebra Comput.}, Mrclass = {05E05 (05E10 20C30)}, Mrnumber = {3078059}, Mrreviewer = {Pasquale Petrullo}, Number = {4}, Pages = {833--852}, Title = {Tableaux formulas for {M}acdonald polynomials}, Url = {https://doi.org/10.1142/S0218196713400122}, Volume = {23}, Year = {2013}, Bdsk-Url-1 = {https://doi.org/10.1142/S0218196713400122}} @article{Can-Loehr-2006, Author = {Can, Mahir and Loehr, Nicholas}, Date-Added = {2018-01-24 15:43:39 +0000}, Date-Modified = {2018-01-24 15:44:22 +0000}, Fjournal = {Journal of Combinatorial Theory. Series A}, Issn = {0097-3165}, Journal = {J. Combin. Theory Ser. A}, Mrclass = {05E05 (33D99)}, Mrnumber = {2259069}, Mrreviewer = {Eric S. Egge}, Number = {7}, Pages = {1419--1434}, Title = {A proof of the {$q,t$}-square conjecture}, Url = {https://doi.org/10.1016/j.jcta.2006.01.002}, Volume = {113}, Year = {2006}, Bdsk-Url-1 = {https://doi.org/10.1016/j.jcta.2006.01.002}} @article{Carlsson-Mellit-ShuffleConj-2018, Author = {Carlsson, Erik and Mellit, Anton}, Date-Modified = {2020-02-05 09:16:30 +1100}, Doi = {10.1090/jams/893}, Journal = {J. Amer. Math. Soc.}, Number = {3}, Pages = {661--697}, Title = {A proof of the shuffle conjecture}, Volume = {31}, Year = {2018}, Bdsk-Url-1 = {https://doi.org/10.1090/jams/893}} @misc{DAdderio-Iraci-polyominoes-2017, Author = {D'Adderio, Michele and Iraci, Alessandro}, Date-Added = {2018-01-24 16:17:48 +0000}, Date-Modified = {2020-02-05 09:14:37 +1100}, Eprint = {1712.08787}, Eprinttype = {arXiv}, Title = {Parallelogram polyominoes, partially labelled {D}yck paths, and the {D}elta conjecture {(Full Version)}}, Year = {2017}, Bdsk-Url-1 = {https://arxiv.org/abs/1712.08787}} @article{DAdderio-Iraci-newdinv-2019, Author = {D'Adderio, Michele and Iraci, Alessandro}, Fjournal = {Electronic Journal of Combinatorics}, Issn = {1077-8926}, Journal = {Electron. J. Combin.}, Number = {3}, Pages = {P3.48}, Title = {{The new dinv is not so new}}, Url = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v26i3p48}, Volume = {26}, Year = {2019}, Bdsk-Url-1 = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v26i3p48}} @article{DAdderio-Iraci-VandenWyngaerd-GenDeltaSchroeder-2019, Author = {D'Adderio, Michele and Iraci, Alessandro and Vanden Wyngaerd, Anna}, Date-Modified = {2020-02-05 09:18:53 +1100}, Doi = {https://doi.org/10.1016/j.ejc.2019.04.004}, Journal = {Eur. J. Combin.}, Pages = {58 - 83}, Title = {{The Schr{\"o}der case of the generalized Delta conjecture}}, Volume = {81}, Year = {2019}, Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0195669819300447}, Bdsk-Url-2 = {https://doi.org/10.1016/j.ejc.2019.04.004}} @article{DAdderio-Iraci-VandenWyngaerd-DeltaSquare-2019, Author = {D'Adderio, Michele and Iraci, Alessandro and Vanden Wyngaerd, Anna}, Date-Modified = {2020-02-05 09:16:13 +1100}, Doi = {10.1093/imrn/rnz057}, Journal = {Int. Math. Res. Not.}, Pages = {rnz057}, Title = {{The Delta Square Conjecture}}, Year = {2019}, Bdsk-Url-1 = {https://doi.org/10.1093/imrn/rnz057}} @article{DAdderio-Iraci-VandenWyngaerd-Delta-t0-2020, Author = {D'Adderio, Michele and Iraci, Alessandro and Vanden Wyngaerd, Anna}, Date-Modified = {2020-02-05 09:18:27 +1100}, Issn = {0195-6698}, Journal = {Eur. J. Combin.}, Note = {To appear}, Title = {{The generalized Delta conjecture at {$t=0$}}}, Year = {2020}} @article{DAdderio-Iraci-VandenWyngaerd-TheBible-2019, Author = {D'Adderio, Michele and Iraci, Alessandro and Vanden Wyngaerd, Anna}, Fjournal = {Memoirs of the American Mathematical Society}, Journal = {Mem. Amer. Math. Soc.}, Title = {Decorated {D}yck paths, polyominoes, and the {D}elta conjecture}, Year = {2018}, Bdsk-Url-1 = {https://doi.org/10.1016/S0001-8708(02)00061-0}} @article{DAdderio-Iraci-VandenWyngaerd-Theta-2019, Adsnote = {Provided by the SAO/NASA Astrophysics Data System}, Adsurl = {https://ui.adsabs.harvard.edu/abs/2019arXiv190602623D}, Archiveprefix = {arXiv}, Author = {D'Adderio, Michele and Iraci, Alessandro and Vanden Wyngaerd, Anna}, Eid = {arXiv:1906.02623}, Eprint = {1906.02623}, Journal = {arXiv e-prints}, Keywords = {Mathematics - Combinatorics, 05E05}, Month = {Jun}, Primaryclass = {math.CO}, Title = {Theta operators, refined {D}elta conjectures, and coinvariants}, Url = {https://arxiv.org/abs/1906.02623}, Year = {2019}, Bdsk-Url-1 = {https://arxiv.org/abs/1906.02623}} @misc{DAdderio-VandenWyngaerd-2017, Author = {D'Adderio, Michele and Vanden Wyngaerd, Anna}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2020-02-05 09:17:28 +1100}, Eprint = {1709.08736}, Eprinttype = {arXiv}, Journal = {ArXiv e-prints}, Title = {Decorated {D}yck paths, the {D}elta conjecture, and a new {$q,t$}-square}, Year = {2017}, Bdsk-Url-1 = {https://arxiv.org/abs/1709.08736}} @article{Duane-Garsia-Zabrocki-2013, Author = {Duane, Adrian and Garsia, Adriano M. and Zabrocki, Mike}, Doi = {10.1007/s10801-012-0382-0}, Fjournal = {Journal of Algebraic Combinatorics. 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Stembridge}, Number = {8}, Pages = {3607--3610}, Title = {A graded representation model for {M}acdonald's polynomials}, Url = {https://doi.org/10.1073/pnas.90.8.3607}, Volume = {90}, Year = {1993}, Bdsk-Url-1 = {https://doi.org/10.1073/pnas.90.8.3607}} @article{Garsia-Haiman-qLagrange-1996, Author = {Garsia, Adriano M. and Haiman, Mark}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Fjournal = {Journal of Algebraic Combinatorics. An International Journal}, Issn = {0925-9899}, Journal = {J. Algebraic Combin.}, Mrclass = {05E15 (05A10 05A30 05E10)}, Mrnumber = {1394305}, Mrreviewer = {Edward E. Allen}, Number = {3}, Pages = {191--244}, Title = {A remarkable {$q,t$}-{C}atalan sequence and {$q$}-{L}agrange inversion}, Url = {https://doi.org/10.1023/A:1022476211638}, Volume = {5}, Year = {1996}, Bdsk-Url-1 = {https://doi.org/10.1023/A:1022476211638}} @article{Garsia-Haiman-Tesler-Explicit-1999, Author = {Garsia, Adriano M. and Haiman, Mark and Tesler, Glenn}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Fjournal = {S\'eminaire Lotharingien de Combinatoire}, Issn = {1286-4889}, Journal = {S\'em. Lothar. Combin.}, Mrclass = {05E05 (33D52)}, Mrnumber = {1701592}, Mrreviewer = {Yasmine B. Sanderson}, Note = {The Andrews Festschrift (Maratea, 1998)}, Pages = {Art. B42m, 45}, Title = {Explicit plethystic formulas for {M}acdonald {$q,t$}-{K}ostka coefficients}, Url = {http://elibm.org/ft/10009341003}, Volume = {42}, Year = {1999}, Bdsk-Url-1 = {http://elibm.org/ft/10009341003}} @article{Garsia-Haglund-qtCatalan-2002, Author = {Garsia, Adriano M. and Haglund, James}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Fjournal = {Discrete Mathematics}, Issn = {0012-365X}, Journal = {Discrete Math.}, Mrclass = {05E05 (05E10 33D45)}, Mrnumber = {1935784}, Mrreviewer = {Michael A. Zabrocki}, Note = {LaCIM 2000 Conference on Combinatorics, Computer Science and Applications (Montreal, QC)}, Number = {3}, Pages = {677--717}, Title = {A proof of the {$q,t$}-{C}atalan positivity conjecture}, Url = {https://doi.org/10.1016/S0012-365X(02)00343-6}, Volume = {256}, Year = {2002}, Bdsk-Url-1 = {https://doi.org/10.1016/S0012-365X(02)00343-6}} @incollection{Garsia-Haglund-Xin-Zabrocki-Pieri-2016, Author = {Garsia, Adriano and Haglund, Jim and Xin, Guoce and Zabrocki, Mike}, Booktitle = {The mathematical legacy of {R}ichard {P}. {S}tanley}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Mrclass = {05E05}, Mrnumber = {3617221}, Pages = {141--168}, Publisher = {Amer. Math. Soc., Providence, RI}, Title = {Some new applications of the {S}tanley-{M}acdonald {P}ieri rules}, Year = {2016}} @article{Garsia-Hicks-Stout-2011, Author = {Garsia, Adriano and Hicks, Angela and Stout, Andrew}, Date-Added = {2018-01-24 16:34:52 +0000}, Date-Modified = {2018-01-24 16:35:17 +0000}, Fjournal = {Journal of Combinatorics}, Issn = {2156-3527}, Journal = {J. Comb.}, Mrclass = {05A05 (05A15 05E05)}, Mrnumber = {2913193}, Number = {2}, Pages = {193--229}, Title = {The case {$k=2$} of the {S}huffle {C}onjecture}, Url = {https://doi.org/10.4310/JOC.2011.v2.n2.a2}, Volume = {2}, Year = {2011}, Bdsk-Url-1 = {https://doi.org/10.4310/JOC.2011.v2.n2.a2}} @article{Garsia-Liese-Remmel-Yoo, Archiveprefix = {arXiv}, Author = {Garsia, Adriano M. and Liese, J. and Remmel, Jeffrey B. and Yoo, Meesue}, Eprint = {1801.07385}, Journal = {ArXiv e-prints}, Keywords = {Mathematics - Combinatorics}, Month = jan, Primaryclass = {math.CO}, Title = {Exploring a {D}elta {S}chur {C}onjecture}, Url = {https://arxiv.org/abs/1801.07385}, Year = {2018}, Bdsk-Url-1 = {https://arxiv.org/abs/1801.07385}} @article{Garsia-Xin-Zabrocki-twoshuffle, Address = {New York, NY}, Author = {Garsia, Adriano M. and Xin, Guoce and Zabrocki, Mike}, Doi = {10.1007/978-1-4939-1590-3_8}, Isbn = {978-1-4939-1590-3}, Journal = {Symmetry: Representation Theory and Its Applications: In Honor of Nolan R. Wallach}, Pages = {227--257}, Publisher = {Springer New York}, Title = {Proof of the 2-part compositional shuffle conjecture}, Url = {https://doi.org/10.1007/978-1-4939-1590-3_8}, Year = {2014}, Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4939-1590-3_8}} @article{Garsia-Xin-Zabrocki-threeshuffle, Author = {Garsia, Adriano M. and Xin, Guoce and Zabrocki, Mike}, Doi = {10.1016/j.jcta.2013.12.008}, Fjournal = {Journal of Combinatorial Theory. Series A}, Issn = {0097-3165}, Journal = {J. Combin. Theory Ser. A}, Mrclass = {05E05}, Mrnumber = {3157808}, Mrreviewer = {Arun Ram}, Pages = {202--238}, Title = {A three shuffle case of the compositional parking function conjecture}, Url = {https://doi.org/10.1016/j.jcta.2013.12.008}, Volume = {123}, Year = {2014}, Bdsk-Url-1 = {https://doi.org/10.1016/j.jcta.2013.12.008}} @article{Haglund-Catalan-stats, Author = {Haglund, James}, Doi = {10.1016/S0001-8708(02)00061-0}, Fjournal = {Advances in Mathematics}, Issn = {0001-8708}, Journal = {Adv. 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Allen}, Number = {2}, Pages = {195--232}, Title = {A combinatorial formula for the character of the diagonal coinvariants}, Url = {https://doi.org/10.1215/S0012-7094-04-12621-1}, Volume = {126}, Year = {2005}, Bdsk-Url-1 = {https://doi.org/10.1215/S0012-7094-04-12621-1}} @article{Haglund-Loehr-2005, Author = {Haglund, James and Loehr, Nicholas}, Doi = {https://doi.org/10.1016/j.disc.2004.01.022}, Issn = {0012-365X}, Journal = {Discrete Mathematics}, Keywords = {Catalan number, Parking functions, Labelled trees, Hilbert series}, Note = {Formal Power Series and Algebraic Combinatorics 2002 (FPSAC'02)}, Number = {1}, Pages = {189 - 204}, Title = {A conjectured combinatorial formula for the {H}ilbert series for diagonal harmonics}, Url = {http://www.sciencedirect.com/science/article/pii/S0012365X05002402}, Volume = {298}, Year = {2005}, Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0012365X05002402}, Bdsk-Url-2 = {https://doi.org/10.1016/j.disc.2004.01.022}} @article{Haglund-Morse-Zabrocki-2012, Author = {Haglund, James and Morse, Jennifer and Zabrocki, Mike}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2018-01-23 11:09:38 +0000}, Fjournal = {Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques}, Issn = {0008-414X}, Journal = {Canad. J. Math.}, Mrclass = {05E05 (33D52)}, Mrnumber = {2957232}, Mrreviewer = {Arthur L. B. Yang}, Number = {4}, Pages = {822--844}, Title = {A {C}ompositional {S}huffle {C}onjecture {S}pecifying {T}ouch {P}oints of the {D}yck {P}ath}, Url = {https://doi.org/10.4153/CJM-2011-078-4}, Volume = {64}, Year = {2012}, Bdsk-Url-1 = {https://doi.org/10.4153/CJM-2011-078-4}} @article{Haglund-Remmel-Wilson-2018, Author = {Haglund, James and Remmel, Jeffrey B. and Wilson, Andrew T.}, Date-Modified = {2020-02-05 09:20:10 +1100}, Doi = {10.1090/tran/7096}, Journal = {Trans. Amer. Math. Soc.}, Number = {6}, Pages = {4029--4057}, Title = {The {D}elta {C}onjecture}, Volume = {370}, Year = {2018}, Bdsk-Url-1 = {https://doi.org/10.1090/tran/7096}} @article{Haglund-Rhoades-Shimozono-Advances, Author = {Haglund, James and Rhoades, Brendon and Shimozono, Mark}, Date-Modified = {2020-02-05 09:20:25 +1100}, Doi = {10.1016/j.aim.2018.01.028}, Journal = {Adv. Math.}, Pages = {851--915}, Title = {Ordered set partitions, generalized coinvariant algebras, and the {D}elta {C}onjecture}, Volume = {329}, Year = {2018}, Bdsk-Url-1 = {https://doi.org/10.1016/j.aim.2018.01.028}} @misc{Haglund-Xin-Lecture-Notes, Author = {Haglund, James and Xin, Guoce}, Date-Modified = {2020-02-05 09:20:55 +1100}, Eprint = {1705.11064}, Eprinttype = {arXiv}, Title = {Lecture notes on the {C}arlsson-{M}ellit proof of the shuffle conjecture}, Year = {2017}, Bdsk-Url-1 = {https://arxiv.org/abs/1705.11064}} @incollection{Haiman-Macdonald-1999, Author = {Haiman, Mark}, Booktitle = {New perspectives in algebraic combinatorics ({B}erkeley, {CA}, 1996--97)}, Mrclass = {05E05 (14C05)}, Mrnumber = {1731818}, Pages = {207--254}, Publisher = {Cambridge Univ. Press, Cambridge}, Series = {Math. Sci. Res. Inst. 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J. Combin.}, Mrclass = {05A19 (05A05 05A18 05E05)}, Mrnumber = {3484710}, Mrreviewer = {Zhicong Lin}, Number = {1}, Pages = {Paper 1.5, 21}, Title = {An extension of {M}ac{M}ahon's equidistribution theorem to ordered multiset partitions}, Url = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i1p5/pdf}, Volume = {23}, Year = {2016}, Bdsk-Url-1 = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i1p5/pdf}} @article{Wilson-2017, Author = {Wilson, Andrew T.}, Date-Modified = {2020-02-05 09:23:40 +1100}, Doi = {10.1007/s10801-016-0726-2}, Journal = {J. Algebraic Combin.}, Number = {3}, Pages = {825--855}, Title = {A weighted sum over generalized {T}esler matrices}, Volume = {45}, Year = {2017}, Bdsk-Url-1 = {https://doi.org/10.1007/s10801-016-0726-2}} @phdthesis{Wilson-PhD-2015, Author = {Wilson, Andrew T.}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2020-02-05 09:23:04 +1100}, School = {University of California, San Diego}, Title = {Generalized {S}huffle {C}onjectures for the {G}arsia-{H}aiman {D}elta {O}perator}, Url = {https://search.proquest.com/docview/1699058784}, Year = {2015}, Bdsk-Url-1 = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:3709671}} @article{Zabrocki-4Catalan-2016, Author = {Zabrocki, Mike}, Date-Added = {2018-01-23 11:09:38 +0000}, Date-Modified = {2020-02-05 09:23:23 +1100}, Eprint = {1609.03497}, Eprinttype = {arXiv}, Journal = {ArXiv e-prints}, Title = {A proof of the {$4$}-variable {C}atalan polynomial of the {D}elta conjecture}, Year = {2016}, Bdsk-Url-1 = {https://arxiv.org/abs/1609.03497}} @article{Zabrocki-Delta-Module-2019, Adsnote = {Provided by the SAO/NASA Astrophysics Data System}, Archiveprefix = {arXiv}, Author = {{Zabrocki}, Mike}, Eid = {arXiv:1902.08966}, Eprint = {1902.08966}, Journal = {arXiv e-prints}, Keywords = {Mathematics - Combinatorics, 05E05, 05E10, 20C30}, Month = {Feb}, Pages = {arXiv:1902.08966}, Primaryclass = {math.CO}, Title = {A module for the {D}elta conjecture}, Url = {https://arxiv.org/abs/1902.08966}, Year = {2019}, Bdsk-Url-1 = {https://arxiv.org/abs/1902.08966}} @article{Garsia-Haglund-Remmel-Yoo-2019, Abstract = {In Haglund et al. (Trans. Amer. Math. Soc. 370(6):4029--4057, 2018), Haglund, Remmel and Wilson introduce a conjecture which gives a combinatorial prediction for the result of applying a certain operator to an elementary symmetric function. This operator, defined in terms of its action on the modified Macdonald basis, has played a role in work of Garsia and Haiman on diagonal harmonics, the Hilbert scheme, and Macdonald polynomials (Garsia and Haiman in J. Algebraic Combin. 5:191--244, 1996; Haiman in Invent. Math. 149:371--407, 2002). The Delta Conjecture involves two parameters q, t; in this article we give the first proof that the Delta Conjecture is true when q=0 or t=0.}, Author = {Garsia, Adriano and Haglund, Jim and Remmel, Jeffrey B. and Yoo, Meesue}, Date-Modified = {2020-02-05 09:17:49 +1100}, Doi = {10.1007/s00026-019-00426-x}, Journal = {Ann. Combin.}, Number = {2}, Pages = {317--333}, Title = {A {P}roof of the {D}elta {C}onjecture {W}hen {$q=0$}}, Volume = {23}, Year = {2019}, Bdsk-Url-1 = {https://doi.org/10.1007/s00026-019-00426-x}} @article{Haglund-Sergel-2019, Adsnote = {Provided by the SAO/NASA Astrophysics Data System}, Archiveprefix = {arXiv}, Author = {Haglund, James and Sergel, Emily}, Eid = {arXiv:1908.04732}, Eprint = {1908.04732}, Journal = {arXiv e-prints}, Keywords = {Mathematics - Combinatorics, Mathematics - Representation Theory, 05E10, 05E05}, Month = {Aug}, Primaryclass = {math.CO}, Title = {Schedules and the {D}elta {C}onjecture}, Url = {https://arxiv.org/pdf/1908.04732.pdf}, Year = {2019}, Bdsk-Url-1 = {https://arxiv.org/pdf/1908.04732.pdf}} @article{Garsia-Haiman-1995, Author = {Garsia, Adriano M. and Haiman, Mark}, Doi = {10.1016/0012-365X(94)00134-5}, Fjournal = {Discrete Mathematics}, Issn = {0012-365X}, Journal = {Discrete Math.}, Mrclass = {05E05}, Mrnumber = {1336841}, Note = {Formal power series and algebraic combinatorics (Montreal, PQ, 1992)}, Number = {1-3}, Pages = {219--256}, Title = {Factorizations of {P}ieri rules for {M}acdonald polynomials}, Url = {https://doi.org/10.1016/0012-365X(94)00134-5}, Volume = {139}, Year = {1995}, Bdsk-Url-1 = {https://doi.org/10.1016/0012-365X(94)00134-5}} @misc{Qiu-Wilson-2019, Archiveprefix = {arXiv}, Author = {Dun Qiu and Andrew Timothy Wilson}, Eprint = {1907.00268}, Primaryclass = {math.CO}, Title = {The valley version of the {E}xtended {D}elta {C}onjecture}, Year = {2019}}