General Information: This is the webpage for the POSTECH Learning Seminar in representation theory from Fall 2026. The topic is Kazhdan-Lusztig theory.
Organizers: Valentin Buciumas, buciumas at postech dot ac dot kr.
Time and Place: Mondays 3:30pm-5:30pm in Room 404 (math building) unless otherwise noted.
Topic: Kazhdan-Lusztig theory. More precisely Hecke algebras, Kazhdan-Lusztig basis and polynomials, as well as generalizations and connections to (mostly) representation theory, geometry and combinatorics.
Syllabus: syllabus (somewhat vague at the moment, and subject to change)
| Date | Speaker | Title | Time and place | References, notes etc. |
| September 7 | Valentin Buciumas | Introduction | 3:30pm-5:30pm, Room 404 | |
| September 14 | Tae Jun Park | Coxeter Systems, the Bruhat Order, and the Iwahori-Hecke Algebra | 3:30pm-5:30pm, Room 404 | |
| September 21 | Tae Jun Park | The Kazhdan-Lusztig Basis and Polynomials | 3:30pm-5:30pm, Room 404 | |
| September 28 | Junhyuk Gu | Category 𝒪 and the Kazhdan-Lusztig conjecture | 3:30pm-5:30pm, Room 404 | |
| October 5 | No talk: public holiday | |||
| October 12 | Dowan Kwon | Affine Weyl groups and affine KL theory | 3:30pm-5:30pm, Room 404 | |
| October 19 | Valentin Buciumas | Parabolic KL polynomials and Lusztig's conjecture | 3:30pm-5:30pm, Room 404 | |
| October 26 | Midterm week! | |||
| November 2 | Jungtaek Hong | KL theory for the spherical Hecke algebra | 3:30pm-5:30pm, Room 404 | |
| November 9 | Junhyuk Gu | Soergel bimodules and category O | 3:30pm-5:30pm, Room 404 | |
| November 16 | Beida Xiao | Flag Varieties, Schubert Varieties, and Their Singularities | 3:30pm-5:30pm, Room 404 | |
| November 23 | Beom-seok Kim (?) | Intersection Cohomology | 3:30pm-5:30pm, Room 404 | |
| November 30 | Zheming Xu (?) | Quantum affine algebras and Nakajima quiver varieties | 3:30pm-5:30pm, Room 404 | |
| December 7 | TBA | 3:30pm-5:30pm, Room 404 | ||
| December 14 | On Kazhdan-Lusztig polynomials and AI: Williamson's nature paper | 3:30pm-5:30pm, Room 404 | ||
| December 21 | Finals week! |