The goal of this mini-course is to introduce some of the basic methods of Algebraic Geometry for which there is a natural interaction with Algebraic Combinatorics, as well as tools of Algebraic Combinatorics that are of special interest for Algebraic Geometry. The school is intended for graduate students, postdocts and researchers wishing to be introduced to these questions. Experimental aspects, involving computer algebra, will also be a part of these introductory courses.

#### Centre de recherches mathématiques

**Scientific organizers**: *F. Bergeron* (UQAM), *A. Geramita *(Queen's), *A. Knutson* (Berkeley), *R. Vakil* (Stanford) and *S. Faridi* (Dalhousie)

This workshop will include expository talks as well as presentations on current research on interactions between Algebraic Combinatorics, Algebraic Geometry and Group Representation Theory, with an emphasis on the study of subjects such as the Cohomology of Schubert Varieties, Hilbert Schemes, Gromov-Witten Invariants, Group Invariant Theory, Coinvariant spaces and their diagonal analogs, and various ties between these questions with Symmetric Functions and Schubert Polynomials.