Shareshian wachs
WebbAbstract: In 2015, Brosnan and Chow, and independently Guay-Paquet, proved the Shareshian--Wachs conjecture, which links the combinatorics of chromatic symme... WebbIn 2010 Chung-Graham-Knuth proved an interesting symmetric identity for the Eulerian numbers and asked for a q-analog version. Using the q-Eulerian polynomials introduced by Shareshian-Wachs we find such a q-identity. Moreover, we provide a bijective proof that we further generalize to prove other symmetric qidentities using a combinatorial model due …
Shareshian wachs
Did you know?
WebbGeneralizations of (1.1) appear in the paper [21] of Shareshian and Wachs. For a poset Pwith unique minimum element ^0, P will denote Pnf^0g. For a prime power q>1 and a … Webb21 jan. 2016 · Brosnan and Chow's proof is based in part on the idea of deforming the Hessenberg varieties. The proof given here, in contrast, is based on the idea of …
WebbThrough the links connected to the speakers' names you find titles and abstracts of talks as well as links to their homepages. A full program for the meeting is available here and on the AMS program page.. Click here to obtain further information for speakers and participants concerning abstract submission, location of the meeting, travel, and more. Webb1 okt. 2024 · Since multipermutations without any plateau are Smirnov words, our result generalizes a γ-positivity result due to Linusson, Shareshian and Wachs in this special case. Interestingly, our second action on multipermutations applies also to Stirling multipermutations and results in another combinatorial expansion for their partial γ …
WebbOur proof uses previous work of Stanley, Gasharov, Shareshian–Wachs, and Brosnan–Chow, as well as results of the second author on the geometry and … Webb14 dec. 2016 · Chromatic quasisymmetric functions of labeled graphs were defined by Shareshian and Wachs as a refinement of Stanley's chromatic symmetric functions. In …
WebbJOHN SHARESHIAN AND MICHELLE L. WACHS (Communicated by Sergei Fomin) Abstract. In this research announcement we present a new q-analog of a classical …
WebbIn a 2015 preprint, Brosnan and Chow prove the Shareshian–Wachs conjecture (also proved independently by Guay–Paquet using combinatorial methods ) by showing a remarkable relationship between the Betti numbers of different Hessenberg varieties; a key ingredient in their approach is a certain family of Hessenberg varieties, the (cohomology ... mbx to bathWebbWe will briefly describe this conjecture, and then explain how recent work of Shareshian-Wachs, Brosnan-Chow, among others, makes a surprising connection between this conjecture and the geometry of Hessenberg varieties, together with a certain symmetric-group representation on the cohomology of Hessenberg varieties. mby11brskwhWebb6 jan. 2024 · A second proof of the Shareshian--Wachs conjecture, by way of a new Hopf algebra. Mathieu Guay-Paquet; Mathematics. 2016; This is a set of working notes which … mby250r00tWebbRecent work of Shareshian and Wachs, Brosnan and Chow, and Guay-Paquet connects the wellknown Stanley–Stembridge conjecture in combinatorics to the dot action of the symmetric group Sn on the cohomology rings H∗ (Hess(S, h)) of regular semisimple Hessenberg varieties. In particular, in order to prove the Stanley–Stembridge conjecture, … mbx universityWebb1 mars 2024 · Examples of this latter approach include the chromatic quasisymmetric function and Shareshian-Wachs conjecture of [SW16] (further studied in [AN21, AS22, CH22, CMP23]), ... mby41bswWebbWe combine these tools to present two recent applications developed by Shareshian and Wachs. The first application is a quasisymmetric … mby10brwhWebb11 apr. 2024 · In 2015, Brosnan and Chow, and independently Guay-Paquet, proved the Shareshian-Wachs conjecture, which links the Stanley-Stembridge conjecture in combinatorics to the geometry of Hessenberg ... mby47b