Lecture notes

Meesue Yoo (Chungbuk National University) 

1.  Crash course on symmetric functions: from scratch (Yoo I) (Yoo I)

2.  Toward chromatic symmetric functions and unicellular LLT polynomials (Yoo II) (Yoo II)

Young-Hoon Kiem (Korea Institute for Advanced Study) (Kiem)

1. Chromatic polynomials and permutohedral varieties

2. Geometry of Hessenberg varieties 

3. Shareshian–Wach conjecture and generalizations

Antonio Nigro (Universidade Federal Fluminense)

1.  Chromatic symmetric functions and Hessenberg varieties. (Nigro I)

2.  Characters of Iwahori–Hecke algebras and Lusztig varieties. (Nigro II)

3.  Example of computations of characters of Hecke algebras and further directions (Nigro III)

Byung-Hak Hwang

Chromatic quasisymmetric functions and noncommutative P-symmetric functions (Hwang)

Takashi Sato (Osaka Central Advanced Mathematical Institute)

1. Unicellular LLT polynomials and twin of regular semisimple Hessenberg varieties (Sato I)

2.  Hessenberg varieties and Hyperplane arrangements (Sato II)

Anton Ayzenberg (HSE University) 

Face posets of regular semisimple Hessenberg varieties and graphicahedra  (Ayzenberg) (Ayzenberg) 

JiSun Huh (Ajou University)

Lollipop chromatic quasi-symmetric functions (Huh)

Seung Jin Lee (Seoul National University)

Chromatic quasisymmetric functions and linked rook placements (Lee)