Schedule

All lectures will take place in room 146 of the HEDCO Education building.

Coffee and pastries will be available every morning in the lecture room, starting at 8:30.

**Monday, August 5th -- Schubert calculus in finite dimensions**
**Topics for problem set**

Schubert calculus on Grassmannians, via mosaics and puzzles. References:
[Purbhoo],
[Knutson-Tao]

(Double) Schubert polynomials, matrix Schubert varieties, pipe dreams.
References: [Miller-Sturmfels]

Problem Set 1

**Tuesday, August 6th -- affine Schubert calculus**
**Topics for problem set**

Stanley symmetric functions, from reduced words, and from stabilizing
Schubert polynomials.

Affine Stanley symmetric functions, from reduced words, and from

affine Grassmannian → Omega K → LK → LK/T ←
affine flag manifold.

References:
[Ross-Yong],
[Lam]

Problem Set 2

**Wednesday, August 7th -- quantum Schubert calculus**

**Thursday, August 8th -- more quantum Schubert calculus**
**Topics for problem set**

Quantum equivariant cohomology of CP^{1}, via double quantum
Schubert polynomials.

Quantum equivariant cohomology of CP^{k}, via 2-step puzzles.

**Friday, August 9th**