Combinatorics on Flag Varieties and Related Topics 2021

Lecture Notes

January 25

• Yunhyung Cho A brief introduction to toric varieties and Newton-Okounkov bodies (Lec 1, Lec 2)

• Naoki Fujita Introduction to crystal bases (Lec 1, Lec 2)

January 26

• Lara Bossinger Gröbner degenerations of Grassmannains and cluster algebras (Lec 1, Lec 2)

• Naoki Fujita Newton-Okounkov bodies of flag and Schubert varieties (Lec 3, Lec 4)

(* At the beginning of Lecture 3, the organizer forgot to record, so the video for Lecture 3 is short. You can skip the video to 1min 20sec.)

January 27

• Megumi Harada An introduction to Hessenberg varieties and their Newton-Okounkov bodies (No video)

• Akihiro Higashitani Introduction to combinatorial mutations of polytopes and its applications (Lec 1, Lec 2)