| Abstract:
A Grassmannian is a parameter variety
for subspaces (of a specified
dimension) of a projective space. I will define these varieties,
discuss their structure and introduce their intersection ring (or Chow
ring). One can perform calculations in this ring to answer some
interesting geometric questions. No prior acquaintance with algebraic
geometry will be assumed.
Meanwhile, everyone is invited to try the
following problem:
|
Given four randomly situated lines in (ordinary) space, how may lines
can you find which intersect all four? |
|
