Algebraic Combinatorics- Marni Mishna

Thursday, May 3, 2018 11:30 am - 11:30 am EDT (GMT -04:00)

Title: An elementary approach to the quasipolynomiality of the Kronecker coefficients

Speaker: Marni Mishna
Affiliation: Simon Fraser University
Room: MC 6486

Abstract: Our focus here is the Kronecker function whose inputs are three partitions of bounded length, and whose output is the corresponding Kronecker coefficient. The piecewise quasipolynomiality of this function
has been the center of much interest. This phenomenon is a consequence of the powerful [Q, R]= 0 theorem of Meinrenken-Sjamaar [MS99] on the piecewise quasipolynomial behavior of multiplicity functions. This talk will describe an elementary approach to determining this property, and discuss how to effectively compute coefficients. This is work in progress with Mercedes Rosas and Sheila Sundaram.