- This event has passed.

Mathematics faculty and graduate students are invited to attend the PhD

Preliminary Examination of Kyle Salois. Advisor: Dr. Maria Gillespie Committee: Dr. Alexander Hulpke, Dr. Renzo Cavalieri, Dr. Dongzhou Huang Title: Higher Specht Polynomials and Tableaux Bijections for Hessenberg Varieties Abstract: The cohomology rings of regular semisimple Hessenberg varieties is only understood completely in some cases. One such case is when the Hessenberg function is h=(h(1),n,…,n), and is described by Abe, Horiguchi, and Masuda in 2017. We define an alternative basis for the cohomology ring in this case, which is a higher Specht basis. We give combinatorial bijections between the monomials in this basis and sets of P-tableaux, motivated by the work of Gasharov, illustrating the connections between the symmetric group action on these cohomology rings and the Schur expansion of chromatic symmetric functions.This calendar is used exclusively for events or announcements sponsored by the Department of Mathematics, the College of Natural Sciences or Colorado State University.