Syllabus

The topics covered in each class will be given in the table below, along with the corresponding sections of the notes.

Date Notes Topics
Jan 10 1.1–1.3 The symmetric group, partitions and compositions, graded rings
Jan 12 1.3, 1.4 Graded rings (cont.), formal power series
Jan 17 1.4, 2.1, 2.2 Formal power series (cont.), symmetric polynomials, symmetric functions
Jan 19 2.2 Symmetric functions (cont.), tableaux, elementary symmetric functions
Jan 24 2.3 Elementary symmetric functions (cont.), homogeneous symmetric functions
Jan 26 2.4, 2.5 Homogeneous symmetric functions (cont.), power sums
Jan 31 3.1 Alternating functions
Feb 2 3.2 Schur functions, Jacobi–Trudi identities
Feb 7
Feb 9
Feb 14
Feb 16
Feb 21–25 Reading week
Feb 28
Mar 2 Midterm test
Mar 7
Mar 9
Mar 14
Mar 16
Mar 21
Mar 23
Mar 28
Mar 30
Apr 4
Apr 6 Review