Grassmannians and Schubert Varieties

Saturday, April 14, 2007 - 11:00am - 12:30pm
EE/CS 3-180
Sara Billey (University of Washington)
The study of Schubert varieties has grown out questions in enumerate
geometry from the 19th century. This field has flourished over the
past fifty years and now has applications in algebraic geometry,
representation theory, combinatorics, physics, computer graphics, and
economics. We will define Schubert varieties in the context of
Grassmannians and flag varieties. These varieties have many
interesting properties determined by combinatorial data like
partitions, permutations, posets, and graphs. We present five fun
facts on Schubert varieties and some open problems in the field.