Spring 2012, Thursdays, Milner 216, 4:00-4:50 PM

Date: January 26

"  Galois groups of Schubert problems "
  Prof. Frank Sottile  


The Galois group of a field extension encodes all of its symmetries and it is the basic invariant of the field extension. Enumerative geometric problems, which are fundamental in algebraic geometry, also have Galois groups which encode the symmetries and the intrinsic structure of the geometric problem.

These are, however, difficult to determine and hard to study. For a wide class of well-structured geometric problems (the Schubert Calculus) there are many approaches and even some results. My talk will introduce these geometric Galois groups and discuss some of the approaches to studying them and some of the results that we have obtained. Thi is ongoing work with collaborators at other institutions and students at TAMU, including Abraham Martin del Campo and Chris Brooks.