Schubert calculus (Linda Chen, Ohio State)

Schubert varieties and Schubert calculus appear at the crossroads of
algebraic geometry, representation theory, symplectic geometry and
combinatorics. We will introduce the basic objects and ideas, and then
explore some of these connections together, focusing on geometry and
combinatorics.

We'll choose together from many possible topics:
- Giambelli and Pieri formulas
- degeneracy locus formulas
- the appearance of Littlewood-Richardson coefficients in various settings
- different combinatorial formulas for L-R coefficients
- using Schubert calculus to solve enumerative geometry problems
- quantum cohomology of Grassmannians
- K-theory or equivariant cohomology
- (quantum, equivariant) cohomology of more general G/P's, e.g. flag
varieties, Lagrangian Grassmannians, etc.