- Teacher: Jehanne Dousse
- Teacher: Jihyeug Jang
A partition of a positive integer n is a non-increasing sequence of numbers whose sum is n, the partitions of 3
being (3), (2,1) and (1,1,1). Though simple to define, these objects are very deep combinatorially. The goal of
this course is to present different aspects of the theory of integer partitions (mostly combinatorial, but also
number theoretic and algebraic): generating functions, partition identities, congruences, bijections, etc.).
We will cover the following:
1. Generating functions
2. Graphical representations
3. q-series
4. q-binomial coefficients
5. Partition identities
6. Congruences
7. Bijections