References

Nguyễn Đức Khánh’s lectures

Littelmann,

A Littlewood-Richardson rule for symmetrizable

Kac-Moody algebras, Invent. Math. 116 (1994), 329--346.

Littelmann,

Paths and root operators in representation theory,

Ann. of Math. (2) 142 (1995), 499--525.

Naito and D. Sagaki,

Demazure submodules of level-zero extremal weight modules and

specializations of Macdonald polynomials,

Math. Z. (vol.283, no.3-4, pp. 937--978, 2016).

Kato, S. Naito, and D. Sagaki,

Equivariant $K$-theory of semi-infinite flag manifolds and

Pieri-Chevalley formula,

Duke Math. J. (vol.169, no.13, pp.2421--2500, 2020).

Petra Schwer’s lectures

Milićević, Elizabeth; Schwer, Petra; Thomas, Anne

Dimensions of affine Deligne-Lusztig varieties: a new approach via 

labeled folded alcove walks and root operators. (English) Zbl 1537.20001

Memoirs of the American Mathematical Society 1260. Providence, RI: 

American Mathematical Society (AMS) (ISBN 978-1-4704-3676-6/pbk; 

978-1-4704-5403-6/ebook). v, 101 p. (2019).

Milićević, Elizabeth; Schwer, Petra; Thomas, Anne

Affine Deligne–Lusztig varieties and folded galleries governed by 

chimneys

Annales de l'Institut Fourier, Volume 73 (2023) no. 6, pp. 2469-2541.

Milićević, Elizabeth; Schwer, Petra; Thomas, Anne

Chimney retractions in affine buildings encode orbits in affine flag 

varieties. (English) Zbl 1526.20046

Innov. Incidence Geom. 20, No. 2-3, 395-430 (2023).

Schwer, Petra

Shadows in the wild – folded galleries and their applications. (English) 

Zbl 1551.20064

Jahresber. Dtsch. Math.-Ver. 124, No. 1, 3-41 (2022).

Graeber, Marius; Schwer, Petra

Shadows in Coxeter groups. (English) Zbl 1477.20073

Ann. Comb. 24, No. 1, 119-147 (2020).

Satoshi Naito’s lectures 

  1. Lenart, S. Naito, D. Sagaki, A. Schilling, and M. Shimozono,

A uniform model for Kirillov-Reshetikhin crystals, I: Lifting

the parabolic quantum Bruhat graph, Int. Math. Res. Not.,

IMRN Vol. 2015 (2015), pp. 1848--1901.

  1. Lenart, S. Naito, D. Sagaki, A. Schilling, and M. Shimozono,

A uniform model for Kirillov-Reshetikhin crystals, II: Alcove model,

path model, and P = X, Int. Math. Res. Not.,

IMRN Vol. 2017 (2017), pp. 4259--4319.

  1. Ishii, S. Naito, and D. Sagaki, Semi-infinite Lakshmibai-Seshadri path model

for level-zero extremal weight modules over quantum affine algebras, Adv. Math.,

Vol. 290 (2016), pp. 967--1009.