Time and place: Tuesdays 19:10--20:40, room 307.

Announcement. In Spring semester 2001, I am giving a course called "Combinatorics of the symmetric group". See the corresponding page.

Materials available:

• List of listeners: Russian, English.

• Course program: English, Russian.

• Lecture 1 (12-Sep-00). Recurrence relations (Russian): GIF (for viewing), PostScript (for printing).

• Lecture 2 (19-Sep-00). Catalan numbers (Russian): JPG (for viewing), PostScript (for printing).

• Lecture 3 (26-Sep-00). Up-down permutations and Bernoulli-Euler triangle. See lecture notes by S.K.Lando (in Russian),

• Lecture 4 (03-Oct-00). Combinatorial species: definition and examples (English). PostScript, JPEG (page 1), JPEG (page 2).

• Lecture 5 (10-Oct-00). Algebra of combinatorial species: addition, multiplication. (English). PostScript, JPEG (page 1), JPEG (page 2).

• Lecture 6 (17-Oct-00). Partitional composition of combinatorial species. (English). PostScript, JPEG.

• Lecture 7 (24-Oct-00). Derivative (PostScript, JPEG: page 1, page 2) and pointing of combinatorial species.

• Lecture 8 (31-Oct-00). Cartesian and functorial composition of combinatorial species.

• TEST problems (in Russian, proposed on 31.10.2000, due on 14.11.2000): LaTeX source, gzipped PostScript, graphics (JPEG).

• SOLUTIONS to TEST problems (in Russian): LaTeX source, gzipped PostScript, JPEG graphics: page 1. page 2.

• Lecture 9 (14-Nov-00). The ring of virtual species. gzipped PostScript (updated! 25-Nov-00).

• Lecture 10 (21-Nov-00). Multisort species. Composition of virtual species. Unfinished PostScript file (gzipped)

• Lecture 11 (28-Nov-00). Molecules and atoms.

• Lecture 12 (5-Dec-00). Lagrange inversion. Otter's formula.

• TEST problems (in Russian, proposed on 10.12.2000, due on 19.12.2000):
  LaTeX source (zip), gzipped PostScript, graphics (JPEG).

• Second exam (in Russian, proposed on 25.01.2001, due on 12.02.2001):
  LaTeX source (zip), gzipped PostScript, graphics (JPEG).