Office: Blocker 601K
Email:
sottile@tamu.edu
WWW:
www.math.tamu.edu/~sottile
| Office Hours: | Mondays | 11:00–12:00 |
| Thursday | 13:00--14:00 | |
| By appointment | ||
are a good venue for catching faculty members, including Frank.
I have some notes that will be revised concerning Grassmannians.
Grassmannians and flag manifolds are among the most charismatic and ubiquitous algebraic varieties. They are important in many areas of mathematics, from representation theory to enumerative geometry to combinatorics. On reason for this is that they have very rich, interconnected, and well-understood geometric, combinatorial, and algebraic structures.
This course will treat many aspects of Grassmannians and flag manifolds, including their Schubert decomposition, algebraic and combinatorial models for their cohomology rings, as well as symbolic computation of Schubert problems from enumerative geometry.
The prerequisites are basic mathematics maturity at the level of gradate algebra, or consent of the instructor. The grading will be based on a few homework sets, and then presentations at the end of the semester of group projects.
There will be some optional homework assignments and computational assignments. Students will do a final project, presenting material from some research papers, which could be their own.
The prerequisite is graduate algebra or consent of the instructor.