Combinatorics / Harvard Seminar
Friday, September 20, 2019 at 3:30pm to 4:30pm
Harvard University, Science Center 530, One Oxford Street, Cambridge, MA
SPEAKER: Julianna Tymoczko (Smith College)
TITLE: Hessenberg varieties, combinatorial constructions of equivariant cohomology, and the Stanley-Stembridge conecture
The elementary symmetric functions form a well-known basis for the entire space of symmetric functions. The conjecture that the chromatic symmetric function of any (3+1)-free poset can be written as a nonnegative linear combination of elementary symmetric functions is often called the Stanley-Stembridge conjecture. We describe recent progress towards proving the Stanley-Stembridge conjecture that uses a combinatorial representation of a geometric object called a Hessenberg variety.