This is a topics course on rational projective homogeneous spaces, usually written G/P. We will focus on explicit descriptions of these spaces.
Classes are on Monday, Wednesday, and Friday, 1:50 - 2:45pm, online.
There is no single textbook for the course. I will send notes and references by email, and post some here.
A rough schedule of topics is below, subject to change and update.
| Feb 1-5 | Flag varieties (tangent weights, Schubert varieties, Plucker coordinates) |
| Feb 8-12 | Flag varieties (line bundles and representations) |
| Feb 15-19 | Symplectic flag varieties |
| Feb 22-26 | Symplectic flag varieties, cont'd, and student presentations |
| Mar 1-5 | Lie theory |
| Mar 8-12 | Lie theory (cont'd) |
| Mar 15-19 | The G2 flag variety |
| Mar 22-26 | ICERM workshop, student presentations |