Informal seminar on combinatorics and representation theory
This is an informal seminar on combinatorics and representation theory. In Fall 2020 we plan to
focus on the recent work of Blasiak, Morse and Pun on Catalan polynomials.
Organizers: Erik Carlsson ,
Eugene Gorsky,
Anne Schilling,
Monica Vazirani .
The seminar meets on Mondays at 23pm.
Notes from other quarters: Winter 21 .
Program

10/5 Anne: introduction to kSchur functions and Catalan polynomials notes

10/12 Eugene: Catalan functions and HallLittlewood polynomials [BMPS2,Section 4]
notes

10/19 Monica: Recurrences for Catalan functions [BMPS2,Section 5]
notes

10/26 Daniel: Catalan functions and kSchur functions [BMPS2,Section 2] notes

11/2 Wencin: Nonsymmetric Catalan functions, recursions, operator formula [BMP, Section 5, Theorem 2.3]
notes

11/9 Wencin continues notes

11/16 Nicolle: Demazure crystals [BMP, Section 4] notes

11/23 Nicolle continues notes

11/30 and 12/7 Jianping: DARK crystals [BMP, Section 6]
notes

Winter break

Seminar continues in Winter quarter here
References:

[BMP] Jonah Blasiak, Jennifer Morse, Anna Pun. Demazure crystals and the Schur positivity of Catalan functions.
arXiv:2007.04952

[BMPS1] Jonah Blasiak, Jennifer Morse, Anna Pun, Daniel Summers. kSchur expansions of Catalan functions.
arXiv:1811.02490

[BMPS2] Jonah Blasiak, Jennifer Morse, Anna Pun, Daniel Summers. Catalan functions and kSchur positivity.
arXiv:1804.03701

[Katalan] Jonah Blasiak, Jennifer Morse, George Seelinger. Ktheoretic Catalan functions.
arXiv:2010.01759