Affine Patches on Positroid Varieties and Affine Pipe Dreams (Thesis)

Details Affine Patches on Positroid Varieties and Affine Pipe Dreams (Thesis) Affine Patches on Positroid Varieties and Affine Pipe Dreams (Thesis)

2010-11-16

arxiv.org/abs/1011.3705v1

Mathematics

Combinatorics

Graduate Thesis

Scientific paper

The objects of interest in this thesis are positroid varieties in the Grassmannian, which are indexed by juggling patterns. In particular, we study affine patches on these positroid varieties. Our main result corresponds these affine patches to Kazhdan-Lusztig varieties in the affine Grassmannian. We develop a new term order and study how these spaces are related to subword complexes and Stanley-Reisner ideals. We define an extension of pipe dreams to the affine case and conclude by showing how our affine pipe dreams are generalizations of Cauchon and Le diagrams.

Affiliated with

Also associated with

No associations

Rating

Affine Patches on Positroid Varieties and Affine Pipe Dreams (Thesis) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Affine Patches on Positroid Varieties and Affine Pipe Dreams (Thesis), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Affine Patches on Positroid Varieties and Affine Pipe Dreams (Thesis) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-464605