The mark for this course is 0.5*(Miderm+Exam).

Current results: 

Midterm 5.11 14:50-16:10 211

Экзамен 24.12 14:50-16:50.

Смирнов-Тутубалина, Симметрические функции, параграфы 7-9.

Preparation: Macdonald 1-5, https://shashkovs.ru/hse/esmirnov/symfunctions/index.htm -- problem sets 1-6.

Книжка Макдональда Симметрические функции

Seminars:

1. Seminar 1. 

2. Seminar 2. Proof of Cauchy formula and Jacobi-Trudi identity.

3. Seminar 3. Specialization of e,h,s and q-binomial coefficients.

4. Seminar 4. Macdonald 1.1, 3.1,3.2, 3.4.

5. Seminar 5. Macdonald 4.3, 5.2, 5.3.

6. Seminar 6.

7. Seminar 7. RSK for words and Vienots geometric construction. Lindström–Gessel–Viennot Lemma. 

8. Seminar 8. Arrays and dense arrays.

9. Seminar 9,10. Application of  arrays: RSK, Cauchy identity, Littlewood-Richardson rule.

10. Seminar 11. Littlewood-Richardson rule, DU-orbits.

Lecture notes and recordings:

1. Lecture 1 notes and recording.

2. Lecture 2 notes and recording.

3. Lecture 3 notes and recording.

4. Lecture 4 notes and recording.

5. Lecture 5 notes and recording.

6. Lecture 6 notes and recording 1, recording 2.

7. Lecture 7 notes and recording.

8. Lecture 8 notes and recording.

9. Lecture 9 notes and recording.

10. Lecture 10 notes and recording.

11. Lecture 11 notes and  recording.