Marcelo Aguiar, Cornell University

Algebraic structures on combinatorial species

logoMarcelo.png

Teaching Assistants:         Carolina Benedetti, Fields Institute and York University (Canada)

Felipe Rincón, University of Oslo (Norway)

List of topics

1. Enumeration via species

2. Monoid species

3. Hopf monoids and the antipode

4. Enumeration via Hopf monoids

5. Generalized permutahedra and other examples

6. The braid arrangement

7. Rings in the category of species

Lecture notes (this is not a final version)

Exercises

Lectures 1 and 2 

Lecture 3 

Lecture 4