Theme Semester in Recent Advances in Combinatorics

Marcelo Aguiar (Texas A&M University)
François Bergeron (Université du Québec à Montréal)
Nantel Bergeron (York University)
Mark Haiman (University of California, Berkeley)
Stephanie van Willigenburg (University of British Columbia)

The goal of this mini-course is to introduce the basic methods of Hopf algebras and their interactions with algebraic combinatorics. The topics presented will include: Combinatorial Hopf algebras, symmetric and quasisymmetric functions, Macdonald polynomials and ties with group representation theory. The school is intended for graduate students, postdocs and researchers wishing to be introduced to these questions. Experimental aspects, involving computer algebra, will also be a part of these introductory courses.

This school is followed by the Workshop on Combinatorial Hopf Algebra and Macdonald Polynomials.