Prof. Allen Knutson's Math 7390, Spring 2009

Monday/Wednesday 11:40-12:55 in Malott 205
Course description here.
  • Monday, 1/19:
  • Reduced row-echelon form of k x n matrices
  • Grassmannian Gr(k,n) of k-planes in n-space
  • Plucker coordinates on the Grassmannian (easy proof of homogeneous well-definedness; no proof yet that they generate the invariant ring)
  • Various sets with n choose k elements, e.g. partitions in a k x (n-k) box
  • Bruhat order thereon