Math 665 Fall 2016
Schubert Calculus

Lectures: Tuesday and Thursday 11:30-1

Instructor: Thomas Lam, 2834 East Hall,

Office Hours: Tuesday and Thursday 2-3:30pm
No office hours on Oct 4 or Oct 6.

Familiarity with linear algebra is essential. Some experience with algebraic geometry and algebraic topology is helpful.

Grading: There will be problem sets roughly every two weeks.

Cohomology of Grassmannians and flag varieties:
W. Fulton, Young tableaux, Cambridge University Press, 1997.
L. Manivel, Symmetric functions, Schubert polynomials and degeneracy loci, AMS, 2001.
Equivariant cohomology of Grassmannians:
Knutson and Tao, Puzzles and (equivariant) cohomology of Grassmannians.
Goresky, Kottwitz, and Macpherson, Equivariant cohomology, Koszul duality, and the localization theorem.
Tymoczko, An introduction to equivariant cohomology and homology, following Goresky, Kottwitz, and Macpherson
Anderson, Introduction to Equivariant Cohomology in Algebraic Geometry

List of lectures: