Some studies on topics relevant to cohomology rings of flag varieties

Project Year: 2023
REU Student (s): Yakov Burton | Rutgers University-New Brunswick NJ
Project Mentor (s) : Anders Buch - 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.

REU