- Some studies on topics relevant to cohomology rings of flag varieties
- Project Year:
2023
- REU Student (s):
Yakov Burton | Rutgers University-New Brunswick NJ
- Student 1 Institution:
Rutgers University-New Brunswick
- Project Mentor:
Anders Buch
- Project Mentor Area:
Mathematics
- Project Abstract:
This project was focused on flag varieties and computations in cohomology rings. I studied symmetric polynomials and covered different basis for this family of functions, as well as computations in one of these basis, the set of Schur functions. I also studied root systems, Weyl Groups and the classification of irreducible root systems. Finally, I worked on some actual cohomology rings and how they connect to root systems and multiplication of Schur functions.
