0;115;0c Algebraic Combinatorics 2023W
RISC JKU

Algebraic Combinatorics

The lecture takes place on Tuesdays, 12:00-13:30 in HS14 starting October 3, 2023. The lecture will be held in English. There are exercises attached to the lecture that are not mandatory but highly recommended. The exercises will be held by Koustav Banerjee. Currently they are set to be held on Tuesdays, 13:45-14:30 in HS14, but the times are open for discussion. The details of the exercises will be organized in the first lecture.

Enumerative Combinatorics is divided in two subfields: (i) Counting Theory and (ii) Formal Manipulation Techniques. This lecture is mainly devoted to Counting Theory; the other subfield is treated in the lecture Algorithmic Combinatorics.

In this lecture basic combinatorical sequences such as binomial coefficients, Stirling numbers, or partition numbers are introduced as well as the concept of group actions. The latter is a fundamental concept that connects algebra with combinatorics.

Literature:

Requirements: Basic knowledge from analysis and linear algebra.

The assignments for the exercises will be posted here.
Posted onExercise sheet
03.10.2023exercises-01.pdf
10.10.2023exercises-02.pdf
24.10.2023exercises-03.pdf
30.10.2023exercises-04.pdf
07.11.2023exercises-05.pdf
15.11.2023exercises-06.pdf
28.11.2023exercises-07.pdf
05.12.2023exercises-08.pdf
12.12.2023exercises-09.pdf
09.01.2024exercises-10.pdf
30.01.2024exercises-12.pdf

Find the exercises on the last two pages of the file exercises-12.pdf.

Silviu Radu