- Series
- Algebra Seminar
- Time
- Tuesday, April 10, 2012 - 2:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Abraham Martin del Campo – Texas A&M
- Organizer
- Anton Leykin
The Galois group of a problem in enumerative geometry is a subtle
invariant that encodes special structures in the set of solutions. This
invariant was first introduced by Jordan in 1870. In 1979, Harris showed
that the Galois group of such problems coincides with the monodromy
group of the total space. These geometric invariants are difficult to
determine in general. However, a consequence of Vakil's geometric
Littlewood-Richardson rule is a combinatorial criterion to determine if a
Schubert problem on a Grassmannian contains at least the alternating
group. Using Vakil's criterion, we showed that for Schubert problems of
lines, the Galois group is at least the alternating group.