Recent developments on chromatic quasisymmetric functions
Geometric and topological combinatorics: Modern techniques and methods October 09, 2017 - October 13, 2017
Location: SLMath:
chromatic symmetric functions
Hessenberg varieties
06D20 - Heyting algebras (lattice-theoretic aspects) [See also 03G25]
06D30 - De Morgan algebras, Łukasiewicz algebras (lattice-theoretic aspects) [See also 03G20]
3-Wachs
The chromatic quasisymmetric function of a labeled graph was introduced by Shareshian and myself as a refinement of Stanley’s chromatic symmetric function. We conjectured a refinement of the long standing Stanley- Stembridge e-positivity conjecture, and formulated an algebro-geometric approach to proving this refined conjecture involving Hessenberg varieties. Significant progress in this direction has recently been made by Brosnan and Chow and by Guay-Paquet. In this talk, I will discuss the connection with Hessenberg varieties, and also present some new directions, including results on generalizations to directed graphs obtained by my student Brittney Ellzey
Wachs Notes
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3-Wachs
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3-Wachs.mp4
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